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Finding the Third Proportional to 89,840 and 149,721

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Solution

The third proportional to 89,840 and 149,721 is: 249,514.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,840 : 149,721 = 149,721 : x
  2. Step 2: Convert to fraction form
    89,840/149,721 = 149,721/x
  3. Step 3: Cross multiply
    89,840x = 149,721 × 149,721
  4. Step 4: Simplify right side
    89,840x = 22,416,377,841
  5. Step 5: Solve for x
    x = 22,416,377,841/89,840
  6. Step 6: Final answer
    x = 249,514.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.