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Finding the Third Proportional to 634,920 and 862,290

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Solution

The third proportional to 634,920 and 862,290 is: 1,171,083.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,920 : 862,290 = 862,290 : x
  2. Step 2: Convert to fraction form
    634,920/862,290 = 862,290/x
  3. Step 3: Cross multiply
    634,920x = 862,290 × 862,290
  4. Step 4: Simplify right side
    634,920x = 743,544,044,100
  5. Step 5: Solve for x
    x = 743,544,044,100/634,920
  6. Step 6: Final answer
    x = 1,171,083.04

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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.