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Finding the Third Proportional to 858,649.50 and 1,261,720.50

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Solution

The third proportional to 858,649.50 and 1,261,720.50 is: 1,854,002.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,649.50 : 1,261,720.50 = 1,261,720.50 : x
  2. Step 2: Convert to fraction form
    858,649.50/1,261,720.50 = 1,261,720.50/x
  3. Step 3: Cross multiply
    858,649.50x = 1,261,720.50 × 1,261,720.50
  4. Step 4: Simplify right side
    858,649.50x = 1,591,938,620,120.25
  5. Step 5: Solve for x
    x = 1,591,938,620,120.25/858,649.50
  6. Step 6: Final answer
    x = 1,854,002.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.