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Finding the Third Proportional to 231,684 and 345,486

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Solution

The third proportional to 231,684 and 345,486 is: 515,186.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,684 : 345,486 = 345,486 : x
  2. Step 2: Convert to fraction form
    231,684/345,486 = 345,486/x
  3. Step 3: Cross multiply
    231,684x = 345,486 × 345,486
  4. Step 4: Simplify right side
    231,684x = 119,360,576,196
  5. Step 5: Solve for x
    x = 119,360,576,196/231,684
  6. Step 6: Final answer
    x = 515,186.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.