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Finding the Third Proportional to 280,976 and 614,408

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Solution

The third proportional to 280,976 and 614,408 is: 1,343,521.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,976 : 614,408 = 614,408 : x
  2. Step 2: Convert to fraction form
    280,976/614,408 = 614,408/x
  3. Step 3: Cross multiply
    280,976x = 614,408 × 614,408
  4. Step 4: Simplify right side
    280,976x = 377,497,190,464
  5. Step 5: Solve for x
    x = 377,497,190,464/280,976
  6. Step 6: Final answer
    x = 1,343,521.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.