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Finding the Third Proportional to 88,460 and 133,052

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Solution

The third proportional to 88,460 and 133,052 is: 200,122.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,460 : 133,052 = 133,052 : x
  2. Step 2: Convert to fraction form
    88,460/133,052 = 133,052/x
  3. Step 3: Cross multiply
    88,460x = 133,052 × 133,052
  4. Step 4: Simplify right side
    88,460x = 17,702,834,704
  5. Step 5: Solve for x
    x = 17,702,834,704/88,460
  6. Step 6: Final answer
    x = 200,122.48

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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.