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Finding the Third Proportional to 271,387.69 and 399,187.88

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Solution

The third proportional to 271,387.69 and 399,187.88 is: 587,170.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,387.69 : 399,187.88 = 399,187.88 : x
  2. Step 2: Convert to fraction form
    271,387.69/399,187.88 = 399,187.88/x
  3. Step 3: Cross multiply
    271,387.69x = 399,187.88 × 399,187.88
  4. Step 4: Simplify right side
    271,387.69x = 159,350,959,547.02
  5. Step 5: Solve for x
    x = 159,350,959,547.02/271,387.69
  6. Step 6: Final answer
    x = 587,170.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.