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Finding the Third Proportional to 148,957 and 319,233

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Solution

The third proportional to 148,957 and 319,233 is: 684,155.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,957 : 319,233 = 319,233 : x
  2. Step 2: Convert to fraction form
    148,957/319,233 = 319,233/x
  3. Step 3: Cross multiply
    148,957x = 319,233 × 319,233
  4. Step 4: Simplify right side
    148,957x = 101,909,708,289
  5. Step 5: Solve for x
    x = 101,909,708,289/148,957
  6. Step 6: Final answer
    x = 684,155.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.