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Finding the Third Proportional to 278,045 and 611,386

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Solution

The third proportional to 278,045 and 611,386 is: 1,344,360.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,045 : 611,386 = 611,386 : x
  2. Step 2: Convert to fraction form
    278,045/611,386 = 611,386/x
  3. Step 3: Cross multiply
    278,045x = 611,386 × 611,386
  4. Step 4: Simplify right side
    278,045x = 373,792,840,996
  5. Step 5: Solve for x
    x = 373,792,840,996/278,045
  6. Step 6: Final answer
    x = 1,344,360.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.