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Finding the Third Proportional to 271,386.62 and 399,186.11

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Solution

The third proportional to 271,386.62 and 399,186.11 is: 587,168.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,386.62 : 399,186.11 = 399,186.11 : x
  2. Step 2: Convert to fraction form
    271,386.62/399,186.11 = 399,186.11/x
  3. Step 3: Cross multiply
    271,386.62x = 399,186.11 × 399,186.11
  4. Step 4: Simplify right side
    271,386.62x = 159,349,553,816.26
  5. Step 5: Solve for x
    x = 159,349,553,816.26/271,386.62
  6. Step 6: Final answer
    x = 587,168.05

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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.