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Finding the Third Proportional to 187,440 and 404,814

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Solution

The third proportional to 187,440 and 404,814 is: 874,276.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,440 : 404,814 = 404,814 : x
  2. Step 2: Convert to fraction form
    187,440/404,814 = 404,814/x
  3. Step 3: Cross multiply
    187,440x = 404,814 × 404,814
  4. Step 4: Simplify right side
    187,440x = 163,874,374,596
  5. Step 5: Solve for x
    x = 163,874,374,596/187,440
  6. Step 6: Final answer
    x = 874,276.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.