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Finding the Third Proportional to 177,948 and 387,000

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Solution

The third proportional to 177,948 and 387,000 is: 841,644.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,948 : 387,000 = 387,000 : x
  2. Step 2: Convert to fraction form
    177,948/387,000 = 387,000/x
  3. Step 3: Cross multiply
    177,948x = 387,000 × 387,000
  4. Step 4: Simplify right side
    177,948x = 149,769,000,000
  5. Step 5: Solve for x
    x = 149,769,000,000/177,948
  6. Step 6: Final answer
    x = 841,644.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.