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Finding the Third Proportional to 115,089 and 176,643

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Solution

The third proportional to 115,089 and 176,643 is: 271,118.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,089 : 176,643 = 176,643 : x
  2. Step 2: Convert to fraction form
    115,089/176,643 = 176,643/x
  3. Step 3: Cross multiply
    115,089x = 176,643 × 176,643
  4. Step 4: Simplify right side
    115,089x = 31,202,749,449
  5. Step 5: Solve for x
    x = 31,202,749,449/115,089
  6. Step 6: Final answer
    x = 271,118.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.