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Finding the Third Proportional to 177,510 and 242,516

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Solution

The third proportional to 177,510 and 242,516 is: 331,327.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,510 : 242,516 = 242,516 : x
  2. Step 2: Convert to fraction form
    177,510/242,516 = 242,516/x
  3. Step 3: Cross multiply
    177,510x = 242,516 × 242,516
  4. Step 4: Simplify right side
    177,510x = 58,814,010,256
  5. Step 5: Solve for x
    x = 58,814,010,256/177,510
  6. Step 6: Final answer
    x = 331,327.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.