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Finding the Third Proportional to 271,711.13 and 399,254.06

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Solution

The third proportional to 271,711.13 and 399,254.06 is: 586,666.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,711.13 : 399,254.06 = 399,254.06 : x
  2. Step 2: Convert to fraction form
    271,711.13/399,254.06 = 399,254.06/x
  3. Step 3: Cross multiply
    271,711.13x = 399,254.06 × 399,254.06
  4. Step 4: Simplify right side
    271,711.13x = 159,403,806,422.75
  5. Step 5: Solve for x
    x = 159,403,806,422.75/271,711.13
  6. Step 6: Final answer
    x = 586,666.47

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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.