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Finding the Third Proportional to 217,478 and 316,749

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Solution

The third proportional to 217,478 and 316,749 is: 461,333.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,478 : 316,749 = 316,749 : x
  2. Step 2: Convert to fraction form
    217,478/316,749 = 316,749/x
  3. Step 3: Cross multiply
    217,478x = 316,749 × 316,749
  4. Step 4: Simplify right side
    217,478x = 100,329,929,001
  5. Step 5: Solve for x
    x = 100,329,929,001/217,478
  6. Step 6: Final answer
    x = 461,333.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.