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Finding the Third Proportional to 243,058 and 380,418

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Solution

The third proportional to 243,058 and 380,418 is: 595,404.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,058 : 380,418 = 380,418 : x
  2. Step 2: Convert to fraction form
    243,058/380,418 = 380,418/x
  3. Step 3: Cross multiply
    243,058x = 380,418 × 380,418
  4. Step 4: Simplify right side
    243,058x = 144,717,854,724
  5. Step 5: Solve for x
    x = 144,717,854,724/243,058
  6. Step 6: Final answer
    x = 595,404.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.