Home / 525.66-781.03

Finding the Third Proportional to 525.66 and 781.03

Calculator

Solution

The third proportional to 525.66 and 781.03 is: 1,160.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.66 : 781.03 = 781.03 : x
  2. Step 2: Convert to fraction form
    525.66/781.03 = 781.03/x
  3. Step 3: Cross multiply
    525.66x = 781.03 × 781.03
  4. Step 4: Simplify right side
    525.66x = 610,009.81
  5. Step 5: Solve for x
    x = 610,009.81/525.66
  6. Step 6: Final answer
    x = 1,160.47

Related Problems

Find third proportional to 262.83 and 390.52
Half scale
Find third proportional to 1,051.31 and 1,562.06
Double scale
Find third proportional to 528 and 784
Similar ratio
Find third proportional to 788.48 and 1,171.55
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.