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Finding the Third Proportional to 217,580 and 316,900

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Solution

The third proportional to 217,580 and 316,900 is: 461,557.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,580 : 316,900 = 316,900 : x
  2. Step 2: Convert to fraction form
    217,580/316,900 = 316,900/x
  3. Step 3: Cross multiply
    217,580x = 316,900 × 316,900
  4. Step 4: Simplify right side
    217,580x = 100,425,610,000
  5. Step 5: Solve for x
    x = 100,425,610,000/217,580
  6. Step 6: Final answer
    x = 461,557.17

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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.