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Finding the Third Proportional to 243,766 and 372,129

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Solution

The third proportional to 243,766 and 372,129 is: 568,085.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,766 : 372,129 = 372,129 : x
  2. Step 2: Convert to fraction form
    243,766/372,129 = 372,129/x
  3. Step 3: Cross multiply
    243,766x = 372,129 × 372,129
  4. Step 4: Simplify right side
    243,766x = 138,479,992,641
  5. Step 5: Solve for x
    x = 138,479,992,641/243,766
  6. Step 6: Final answer
    x = 568,085.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.