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Finding the Third Proportional to 115,415 and 177,292

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Solution

The third proportional to 115,415 and 177,292 is: 272,342.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,415 : 177,292 = 177,292 : x
  2. Step 2: Convert to fraction form
    115,415/177,292 = 177,292/x
  3. Step 3: Cross multiply
    115,415x = 177,292 × 177,292
  4. Step 4: Simplify right side
    115,415x = 31,432,453,264
  5. Step 5: Solve for x
    x = 31,432,453,264/115,415
  6. Step 6: Final answer
    x = 272,342.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.