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Finding the Third Proportional to 148,234 and 319,743

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Solution

The third proportional to 148,234 and 319,743 is: 689,690.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,234 : 319,743 = 319,743 : x
  2. Step 2: Convert to fraction form
    148,234/319,743 = 319,743/x
  3. Step 3: Cross multiply
    148,234x = 319,743 × 319,743
  4. Step 4: Simplify right side
    148,234x = 102,235,586,049
  5. Step 5: Solve for x
    x = 102,235,586,049/148,234
  6. Step 6: Final answer
    x = 689,690.53

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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.