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Finding the Third Proportional to 278,046 and 430,893

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Solution

The third proportional to 278,046 and 430,893 is: 667,762.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,046 : 430,893 = 430,893 : x
  2. Step 2: Convert to fraction form
    278,046/430,893 = 430,893/x
  3. Step 3: Cross multiply
    278,046x = 430,893 × 430,893
  4. Step 4: Simplify right side
    278,046x = 185,668,777,449
  5. Step 5: Solve for x
    x = 185,668,777,449/278,046
  6. Step 6: Final answer
    x = 667,762.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.