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Finding the Third Proportional to 147,969 and 319,587

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Solution

The third proportional to 147,969 and 319,587 is: 690,251.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,969 : 319,587 = 319,587 : x
  2. Step 2: Convert to fraction form
    147,969/319,587 = 319,587/x
  3. Step 3: Cross multiply
    147,969x = 319,587 × 319,587
  4. Step 4: Simplify right side
    147,969x = 102,135,850,569
  5. Step 5: Solve for x
    x = 102,135,850,569/147,969
  6. Step 6: Final answer
    x = 690,251.68

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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.