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Finding the Third Proportional to 113,902 and 180,129

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Solution

The third proportional to 113,902 and 180,129 is: 284,862.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,902 : 180,129 = 180,129 : x
  2. Step 2: Convert to fraction form
    113,902/180,129 = 180,129/x
  3. Step 3: Cross multiply
    113,902x = 180,129 × 180,129
  4. Step 4: Simplify right side
    113,902x = 32,446,456,641
  5. Step 5: Solve for x
    x = 32,446,456,641/113,902
  6. Step 6: Final answer
    x = 284,862.92

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.