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Finding the Third Proportional to 148,156 and 319,478

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Solution

The third proportional to 148,156 and 319,478 is: 688,910.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,156 : 319,478 = 319,478 : x
  2. Step 2: Convert to fraction form
    148,156/319,478 = 319,478/x
  3. Step 3: Cross multiply
    148,156x = 319,478 × 319,478
  4. Step 4: Simplify right side
    148,156x = 102,066,192,484
  5. Step 5: Solve for x
    x = 102,066,192,484/148,156
  6. Step 6: Final answer
    x = 688,910.29

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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.