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Finding the Third Proportional to 76,428 and 101,931

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Solution

The third proportional to 76,428 and 101,931 is: 135,944.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,428 : 101,931 = 101,931 : x
  2. Step 2: Convert to fraction form
    76,428/101,931 = 101,931/x
  3. Step 3: Cross multiply
    76,428x = 101,931 × 101,931
  4. Step 4: Simplify right side
    76,428x = 10,389,928,761
  5. Step 5: Solve for x
    x = 10,389,928,761/76,428
  6. Step 6: Final answer
    x = 135,944.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.