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Finding the Third Proportional to 148,153 and 319,472

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Solution

The third proportional to 148,153 and 319,472 is: 688,898.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,153 : 319,472 = 319,472 : x
  2. Step 2: Convert to fraction form
    148,153/319,472 = 319,472/x
  3. Step 3: Cross multiply
    148,153x = 319,472 × 319,472
  4. Step 4: Simplify right side
    148,153x = 102,062,358,784
  5. Step 5: Solve for x
    x = 102,062,358,784/148,153
  6. Step 6: Final answer
    x = 688,898.36

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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.