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Finding the Third Proportional to 64,438 and 141,957

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Solution

The third proportional to 64,438 and 141,957 is: 312,731.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,438 : 141,957 = 141,957 : x
  2. Step 2: Convert to fraction form
    64,438/141,957 = 141,957/x
  3. Step 3: Cross multiply
    64,438x = 141,957 × 141,957
  4. Step 4: Simplify right side
    64,438x = 20,151,789,849
  5. Step 5: Solve for x
    x = 20,151,789,849/64,438
  6. Step 6: Final answer
    x = 312,731.46

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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.