Home / 306,714-465,590

Finding the Third Proportional to 306,714 and 465,590

Calculator

Solution

The third proportional to 306,714 and 465,590 is: 706,762.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,714 : 465,590 = 465,590 : x
  2. Step 2: Convert to fraction form
    306,714/465,590 = 465,590/x
  3. Step 3: Cross multiply
    306,714x = 465,590 × 465,590
  4. Step 4: Simplify right side
    306,714x = 216,774,048,100
  5. Step 5: Solve for x
    x = 216,774,048,100/306,714
  6. Step 6: Final answer
    x = 706,762.81

Related Problems

Find third proportional to 153,357 and 232,795
Half scale
Find third proportional to 613,428 and 931,180
Double scale
Find third proportional to 306,716 and 465,593
Similar ratio
Find third proportional to 460,071 and 698,385
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.