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Finding the Third Proportional to 278,386 and 430,370

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Solution

The third proportional to 278,386 and 430,370 is: 665,329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,386 : 430,370 = 430,370 : x
  2. Step 2: Convert to fraction form
    278,386/430,370 = 430,370/x
  3. Step 3: Cross multiply
    278,386x = 430,370 × 430,370
  4. Step 4: Simplify right side
    278,386x = 185,218,336,900
  5. Step 5: Solve for x
    x = 185,218,336,900/278,386
  6. Step 6: Final answer
    x = 665,329.21

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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.