Home / 532.13-680.06

Finding the Third Proportional to 532.13 and 680.06

Calculator

Solution

The third proportional to 532.13 and 680.06 is: 869.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.13 : 680.06 = 680.06 : x
  2. Step 2: Convert to fraction form
    532.13/680.06 = 680.06/x
  3. Step 3: Cross multiply
    532.13x = 680.06 × 680.06
  4. Step 4: Simplify right side
    532.13x = 462,485.00
  5. Step 5: Solve for x
    x = 462,485.00/532.13
  6. Step 6: Final answer
    x = 869.13

Related Problems

Find third proportional to 266.06 and 340.03
Half scale
Find third proportional to 1,064.25 and 1,360.13
Double scale
Find third proportional to 534 and 683
Similar ratio
Find third proportional to 798.19 and 1,020.09
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.