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Finding the Third Proportional to 187,356 and 274,443

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Solution

The third proportional to 187,356 and 274,443 is: 402,009.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,356 : 274,443 = 274,443 : x
  2. Step 2: Convert to fraction form
    187,356/274,443 = 274,443/x
  3. Step 3: Cross multiply
    187,356x = 274,443 × 274,443
  4. Step 4: Simplify right side
    187,356x = 75,318,960,249
  5. Step 5: Solve for x
    x = 75,318,960,249/187,356
  6. Step 6: Final answer
    x = 402,009.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.