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Finding the Third Proportional to 88,204.50 and 133,116.75

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Solution

The third proportional to 88,204.50 and 133,116.75 is: 200,897.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,204.50 : 133,116.75 = 133,116.75 : x
  2. Step 2: Convert to fraction form
    88,204.50/133,116.75 = 133,116.75/x
  3. Step 3: Cross multiply
    88,204.50x = 133,116.75 × 133,116.75
  4. Step 4: Simplify right side
    88,204.50x = 17,720,069,130.56
  5. Step 5: Solve for x
    x = 17,720,069,130.56/88,204.50
  6. Step 6: Final answer
    x = 200,897.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.