Home / 306,057-465,859.50

Finding the Third Proportional to 306,057 and 465,859.50

Calculator

Solution

The third proportional to 306,057 and 465,859.50 is: 709,100.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,057 : 465,859.50 = 465,859.50 : x
  2. Step 2: Convert to fraction form
    306,057/465,859.50 = 465,859.50/x
  3. Step 3: Cross multiply
    306,057x = 465,859.50 × 465,859.50
  4. Step 4: Simplify right side
    306,057x = 217,025,073,740.25
  5. Step 5: Solve for x
    x = 217,025,073,740.25/306,057
  6. Step 6: Final answer
    x = 709,100.18

Related Problems

Find third proportional to 153,028.50 and 232,929.75
Half scale
Find third proportional to 612,114 and 931,719
Double scale
Find third proportional to 306,059 and 465,863
Similar ratio
Find third proportional to 459,085.50 and 698,789.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.