Home / 306,710-465,582

Finding the Third Proportional to 306,710 and 465,582

Calculator

Solution

The third proportional to 306,710 and 465,582 is: 706,747.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,710 : 465,582 = 465,582 : x
  2. Step 2: Convert to fraction form
    306,710/465,582 = 465,582/x
  3. Step 3: Cross multiply
    306,710x = 465,582 × 465,582
  4. Step 4: Simplify right side
    306,710x = 216,766,598,724
  5. Step 5: Solve for x
    x = 216,766,598,724/306,710
  6. Step 6: Final answer
    x = 706,747.74

Related Problems

Find third proportional to 153,355 and 232,791
Half scale
Find third proportional to 613,420 and 931,164
Double scale
Find third proportional to 306,712 and 465,585
Similar ratio
Find third proportional to 460,065 and 698,373
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.