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Finding the Third Proportional to 278,856 and 430,880

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Solution

The third proportional to 278,856 and 430,880 is: 665,782.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,856 : 430,880 = 430,880 : x
  2. Step 2: Convert to fraction form
    278,856/430,880 = 430,880/x
  3. Step 3: Cross multiply
    278,856x = 430,880 × 430,880
  4. Step 4: Simplify right side
    278,856x = 185,657,574,400
  5. Step 5: Solve for x
    x = 185,657,574,400/278,856
  6. Step 6: Final answer
    x = 665,782.96

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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.