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Finding the Third Proportional to 231,017 and 345,585

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Solution

The third proportional to 231,017 and 345,585 is: 516,970.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,017 : 345,585 = 345,585 : x
  2. Step 2: Convert to fraction form
    231,017/345,585 = 345,585/x
  3. Step 3: Cross multiply
    231,017x = 345,585 × 345,585
  4. Step 4: Simplify right side
    231,017x = 119,428,992,225
  5. Step 5: Solve for x
    x = 119,428,992,225/231,017
  6. Step 6: Final answer
    x = 516,970.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.