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Finding the Third Proportional to 187,931 and 409,780

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Solution

The third proportional to 187,931 and 409,780 is: 893,517.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,931 : 409,780 = 409,780 : x
  2. Step 2: Convert to fraction form
    187,931/409,780 = 409,780/x
  3. Step 3: Cross multiply
    187,931x = 409,780 × 409,780
  4. Step 4: Simplify right side
    187,931x = 167,919,648,400
  5. Step 5: Solve for x
    x = 167,919,648,400/187,931
  6. Step 6: Final answer
    x = 893,517.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.