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Finding the Third Proportional to 1,283,845.50 and 1,986,909.75

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Solution

The third proportional to 1,283,845.50 and 1,986,909.75 is: 3,074,988.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283,845.50 : 1,986,909.75 = 1,986,909.75 : x
  2. Step 2: Convert to fraction form
    1,283,845.50/1,986,909.75 = 1,986,909.75/x
  3. Step 3: Cross multiply
    1,283,845.50x = 1,986,909.75 × 1,986,909.75
  4. Step 4: Simplify right side
    1,283,845.50x = 3,947,810,354,645.06
  5. Step 5: Solve for x
    x = 3,947,810,354,645.06/1,283,845.50
  6. Step 6: Final answer
    x = 3,074,988.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.