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Finding the Third Proportional to 634,280 and 863,940

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Solution

The third proportional to 634,280 and 863,940 is: 1,176,755.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,280 : 863,940 = 863,940 : x
  2. Step 2: Convert to fraction form
    634,280/863,940 = 863,940/x
  3. Step 3: Cross multiply
    634,280x = 863,940 × 863,940
  4. Step 4: Simplify right side
    634,280x = 746,392,323,600
  5. Step 5: Solve for x
    x = 746,392,323,600/634,280
  6. Step 6: Final answer
    x = 1,176,755.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.