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Finding the Third Proportional to 64,428 and 141,561

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Solution

The third proportional to 64,428 and 141,561 is: 311,037.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,428 : 141,561 = 141,561 : x
  2. Step 2: Convert to fraction form
    64,428/141,561 = 141,561/x
  3. Step 3: Cross multiply
    64,428x = 141,561 × 141,561
  4. Step 4: Simplify right side
    64,428x = 20,039,516,721
  5. Step 5: Solve for x
    x = 20,039,516,721/64,428
  6. Step 6: Final answer
    x = 311,037.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.