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Finding the Third Proportional to 92,125 and 138,160.50

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Solution

The third proportional to 92,125 and 138,160.50 is: 207,200.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,125 : 138,160.50 = 138,160.50 : x
  2. Step 2: Convert to fraction form
    92,125/138,160.50 = 138,160.50/x
  3. Step 3: Cross multiply
    92,125x = 138,160.50 × 138,160.50
  4. Step 4: Simplify right side
    92,125x = 19,088,323,760.25
  5. Step 5: Solve for x
    x = 19,088,323,760.25/92,125
  6. Step 6: Final answer
    x = 207,200.26

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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.