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Finding the Third Proportional to 634,412 and 861,190

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Solution

The third proportional to 634,412 and 861,190 is: 1,169,032.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,412 : 861,190 = 861,190 : x
  2. Step 2: Convert to fraction form
    634,412/861,190 = 861,190/x
  3. Step 3: Cross multiply
    634,412x = 861,190 × 861,190
  4. Step 4: Simplify right side
    634,412x = 741,648,216,100
  5. Step 5: Solve for x
    x = 741,648,216,100/634,412
  6. Step 6: Final answer
    x = 1,169,032.45

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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.