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Finding the Third Proportional to 217,498 and 316,778

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Solution

The third proportional to 217,498 and 316,778 is: 461,375.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,498 : 316,778 = 316,778 : x
  2. Step 2: Convert to fraction form
    217,498/316,778 = 316,778/x
  3. Step 3: Cross multiply
    217,498x = 316,778 × 316,778
  4. Step 4: Simplify right side
    217,498x = 100,348,301,284
  5. Step 5: Solve for x
    x = 100,348,301,284/217,498
  6. Step 6: Final answer
    x = 461,375.74

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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.