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Finding the Third Proportional to 92,497 and 138,368.50

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Solution

The third proportional to 92,497 and 138,368.50 is: 206,988.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,497 : 138,368.50 = 138,368.50 : x
  2. Step 2: Convert to fraction form
    92,497/138,368.50 = 138,368.50/x
  3. Step 3: Cross multiply
    92,497x = 138,368.50 × 138,368.50
  4. Step 4: Simplify right side
    92,497x = 19,145,841,792.25
  5. Step 5: Solve for x
    x = 19,145,841,792.25/92,497
  6. Step 6: Final answer
    x = 206,988.79

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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.