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Finding the Third Proportional to 148,301 and 319,931

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Solution

The third proportional to 148,301 and 319,931 is: 690,189.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,301 : 319,931 = 319,931 : x
  2. Step 2: Convert to fraction form
    148,301/319,931 = 319,931/x
  3. Step 3: Cross multiply
    148,301x = 319,931 × 319,931
  4. Step 4: Simplify right side
    148,301x = 102,355,844,761
  5. Step 5: Solve for x
    x = 102,355,844,761/148,301
  6. Step 6: Final answer
    x = 690,189.85

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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.