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Finding the Third Proportional to 278,914 and 574,340

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Solution

The third proportional to 278,914 and 574,340 is: 1,182,681.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,914 : 574,340 = 574,340 : x
  2. Step 2: Convert to fraction form
    278,914/574,340 = 574,340/x
  3. Step 3: Cross multiply
    278,914x = 574,340 × 574,340
  4. Step 4: Simplify right side
    278,914x = 329,866,435,600
  5. Step 5: Solve for x
    x = 329,866,435,600/278,914
  6. Step 6: Final answer
    x = 1,182,681.53

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.