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Finding the Third Proportional to 177,462 and 387,040

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Solution

The third proportional to 177,462 and 387,040 is: 844,124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,462 : 387,040 = 387,040 : x
  2. Step 2: Convert to fraction form
    177,462/387,040 = 387,040/x
  3. Step 3: Cross multiply
    177,462x = 387,040 × 387,040
  4. Step 4: Simplify right side
    177,462x = 149,799,961,600
  5. Step 5: Solve for x
    x = 149,799,961,600/177,462
  6. Step 6: Final answer
    x = 844,124.16

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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.