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Finding the Third Proportional to 115,292 and 247,810

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Solution

The third proportional to 115,292 and 247,810 is: 532,645.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,292 : 247,810 = 247,810 : x
  2. Step 2: Convert to fraction form
    115,292/247,810 = 247,810/x
  3. Step 3: Cross multiply
    115,292x = 247,810 × 247,810
  4. Step 4: Simplify right side
    115,292x = 61,409,796,100
  5. Step 5: Solve for x
    x = 61,409,796,100/115,292
  6. Step 6: Final answer
    x = 532,645.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.