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Finding the Third Proportional to 634,803 and 861,169.50

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Solution

The third proportional to 634,803 and 861,169.50 is: 1,168,256.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,803 : 861,169.50 = 861,169.50 : x
  2. Step 2: Convert to fraction form
    634,803/861,169.50 = 861,169.50/x
  3. Step 3: Cross multiply
    634,803x = 861,169.50 × 861,169.50
  4. Step 4: Simplify right side
    634,803x = 741,612,907,730.25
  5. Step 5: Solve for x
    x = 741,612,907,730.25/634,803
  6. Step 6: Final answer
    x = 1,168,256.78

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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.