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Finding the Third Proportional to 208,440 and 316,872

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Solution

The third proportional to 208,440 and 316,872 is: 481,711.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,440 : 316,872 = 316,872 : x
  2. Step 2: Convert to fraction form
    208,440/316,872 = 316,872/x
  3. Step 3: Cross multiply
    208,440x = 316,872 × 316,872
  4. Step 4: Simplify right side
    208,440x = 100,407,864,384
  5. Step 5: Solve for x
    x = 100,407,864,384/208,440
  6. Step 6: Final answer
    x = 481,711.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.