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Finding the Third Proportional to 89,810 and 138,459

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Solution

The third proportional to 89,810 and 138,459 is: 213,460.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,810 : 138,459 = 138,459 : x
  2. Step 2: Convert to fraction form
    89,810/138,459 = 138,459/x
  3. Step 3: Cross multiply
    89,810x = 138,459 × 138,459
  4. Step 4: Simplify right side
    89,810x = 19,170,894,681
  5. Step 5: Solve for x
    x = 19,170,894,681/89,810
  6. Step 6: Final answer
    x = 213,460.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.