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Finding the Third Proportional to 148,154 and 319,474

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Solution

The third proportional to 148,154 and 319,474 is: 688,902.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,154 : 319,474 = 319,474 : x
  2. Step 2: Convert to fraction form
    148,154/319,474 = 319,474/x
  3. Step 3: Cross multiply
    148,154x = 319,474 × 319,474
  4. Step 4: Simplify right side
    148,154x = 102,063,636,676
  5. Step 5: Solve for x
    x = 102,063,636,676/148,154
  6. Step 6: Final answer
    x = 688,902.34

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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.