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Finding the Third Proportional to 138,402 and 176,850

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Solution

The third proportional to 138,402 and 176,850 is: 225,978.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,402 : 176,850 = 176,850 : x
  2. Step 2: Convert to fraction form
    138,402/176,850 = 176,850/x
  3. Step 3: Cross multiply
    138,402x = 176,850 × 176,850
  4. Step 4: Simplify right side
    138,402x = 31,275,922,500
  5. Step 5: Solve for x
    x = 31,275,922,500/138,402
  6. Step 6: Final answer
    x = 225,978.83

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.