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Finding the Third Proportional to 147,957 and 319,561

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Solution

The third proportional to 147,957 and 319,561 is: 690,195.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,957 : 319,561 = 319,561 : x
  2. Step 2: Convert to fraction form
    147,957/319,561 = 319,561/x
  3. Step 3: Cross multiply
    147,957x = 319,561 × 319,561
  4. Step 4: Simplify right side
    147,957x = 102,119,232,721
  5. Step 5: Solve for x
    x = 102,119,232,721/147,957
  6. Step 6: Final answer
    x = 690,195.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.