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Finding the Third Proportional to 89,214.75 and 138,304.13

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Solution

The third proportional to 89,214.75 and 138,304.13 is: 214,404.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,214.75 : 138,304.13 = 138,304.13 : x
  2. Step 2: Convert to fraction form
    89,214.75/138,304.13 = 138,304.13/x
  3. Step 3: Cross multiply
    89,214.75x = 138,304.13 × 138,304.13
  4. Step 4: Simplify right side
    89,214.75x = 19,128,030,992.02
  5. Step 5: Solve for x
    x = 19,128,030,992.02/89,214.75
  6. Step 6: Final answer
    x = 214,404.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.