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Finding the Third Proportional to 278,872 and 430,904

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Solution

The third proportional to 278,872 and 430,904 is: 665,818.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,872 : 430,904 = 430,904 : x
  2. Step 2: Convert to fraction form
    278,872/430,904 = 430,904/x
  3. Step 3: Cross multiply
    278,872x = 430,904 × 430,904
  4. Step 4: Simplify right side
    278,872x = 185,678,257,216
  5. Step 5: Solve for x
    x = 185,678,257,216/278,872
  6. Step 6: Final answer
    x = 665,818.93

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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.