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Finding the Third Proportional to 278,638 and 430,509

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Solution

The third proportional to 278,638 and 430,509 is: 665,156.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,638 : 430,509 = 430,509 : x
  2. Step 2: Convert to fraction form
    278,638/430,509 = 430,509/x
  3. Step 3: Cross multiply
    278,638x = 430,509 × 430,509
  4. Step 4: Simplify right side
    278,638x = 185,337,999,081
  5. Step 5: Solve for x
    x = 185,337,999,081/278,638
  6. Step 6: Final answer
    x = 665,156.94

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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.