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Finding the Third Proportional to 115,689 and 234,597

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Solution

The third proportional to 115,689 and 234,597 is: 475,721.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,689 : 234,597 = 234,597 : x
  2. Step 2: Convert to fraction form
    115,689/234,597 = 234,597/x
  3. Step 3: Cross multiply
    115,689x = 234,597 × 234,597
  4. Step 4: Simplify right side
    115,689x = 55,035,752,409
  5. Step 5: Solve for x
    x = 55,035,752,409/115,689
  6. Step 6: Final answer
    x = 475,721.57

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.