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Finding the Third Proportional to 349,569 and 386,505

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Solution

The third proportional to 349,569 and 386,505 is: 427,343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,569 : 386,505 = 386,505 : x
  2. Step 2: Convert to fraction form
    349,569/386,505 = 386,505/x
  3. Step 3: Cross multiply
    349,569x = 386,505 × 386,505
  4. Step 4: Simplify right side
    349,569x = 149,386,115,025
  5. Step 5: Solve for x
    x = 149,386,115,025/349,569
  6. Step 6: Final answer
    x = 427,343.71

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.