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Finding the Third Proportional to 231,379 and 349,528

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Solution

The third proportional to 231,379 and 349,528 is: 528,007.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,379 : 349,528 = 349,528 : x
  2. Step 2: Convert to fraction form
    231,379/349,528 = 349,528/x
  3. Step 3: Cross multiply
    231,379x = 349,528 × 349,528
  4. Step 4: Simplify right side
    231,379x = 122,169,822,784
  5. Step 5: Solve for x
    x = 122,169,822,784/231,379
  6. Step 6: Final answer
    x = 528,007.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.