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Finding the Third Proportional to 634,970 and 864,711

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Solution

The third proportional to 634,970 and 864,711 is: 1,177,575.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,970 : 864,711 = 864,711 : x
  2. Step 2: Convert to fraction form
    634,970/864,711 = 864,711/x
  3. Step 3: Cross multiply
    634,970x = 864,711 × 864,711
  4. Step 4: Simplify right side
    634,970x = 747,725,113,521
  5. Step 5: Solve for x
    x = 747,725,113,521/634,970
  6. Step 6: Final answer
    x = 1,177,575.50

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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.