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Finding the Third Proportional to 89,070 and 138,531

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Solution

The third proportional to 89,070 and 138,531 is: 215,457.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,070 : 138,531 = 138,531 : x
  2. Step 2: Convert to fraction form
    89,070/138,531 = 138,531/x
  3. Step 3: Cross multiply
    89,070x = 138,531 × 138,531
  4. Step 4: Simplify right side
    89,070x = 19,190,837,961
  5. Step 5: Solve for x
    x = 19,190,837,961/89,070
  6. Step 6: Final answer
    x = 215,457.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.