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Finding the Third Proportional to 89,853 and 149,739

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Solution

The third proportional to 89,853 and 149,739 is: 249,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,853 : 149,739 = 149,739 : x
  2. Step 2: Convert to fraction form
    89,853/149,739 = 149,739/x
  3. Step 3: Cross multiply
    89,853x = 149,739 × 149,739
  4. Step 4: Simplify right side
    89,853x = 22,421,768,121
  5. Step 5: Solve for x
    x = 22,421,768,121/89,853
  6. Step 6: Final answer
    x = 249,538.34

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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.