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Finding the Third Proportional to 149,872 and 316,472

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Solution

The third proportional to 149,872 and 316,472 is: 668,267.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,872 : 316,472 = 316,472 : x
  2. Step 2: Convert to fraction form
    149,872/316,472 = 316,472/x
  3. Step 3: Cross multiply
    149,872x = 316,472 × 316,472
  4. Step 4: Simplify right side
    149,872x = 100,154,526,784
  5. Step 5: Solve for x
    x = 100,154,526,784/149,872
  6. Step 6: Final answer
    x = 668,267.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.