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Finding the Third Proportional to 161,430 and 225,691

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Solution

The third proportional to 161,430 and 225,691 is: 315,532.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,430 : 225,691 = 225,691 : x
  2. Step 2: Convert to fraction form
    161,430/225,691 = 225,691/x
  3. Step 3: Cross multiply
    161,430x = 225,691 × 225,691
  4. Step 4: Simplify right side
    161,430x = 50,936,427,481
  5. Step 5: Solve for x
    x = 50,936,427,481/161,430
  6. Step 6: Final answer
    x = 315,532.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.