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Finding the Third Proportional to 115,428 and 172,683

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Solution

The third proportional to 115,428 and 172,683 is: 258,337.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,428 : 172,683 = 172,683 : x
  2. Step 2: Convert to fraction form
    115,428/172,683 = 172,683/x
  3. Step 3: Cross multiply
    115,428x = 172,683 × 172,683
  4. Step 4: Simplify right side
    115,428x = 29,819,418,489
  5. Step 5: Solve for x
    x = 29,819,418,489/115,428
  6. Step 6: Final answer
    x = 258,337.83

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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.