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Finding the Third Proportional to 187,418 and 413,236

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Solution

The third proportional to 187,418 and 413,236 is: 911,139.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,418 : 413,236 = 413,236 : x
  2. Step 2: Convert to fraction form
    187,418/413,236 = 413,236/x
  3. Step 3: Cross multiply
    187,418x = 413,236 × 413,236
  4. Step 4: Simplify right side
    187,418x = 170,763,991,696
  5. Step 5: Solve for x
    x = 170,763,991,696/187,418
  6. Step 6: Final answer
    x = 911,139.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.