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Finding the Third Proportional to 853,632 and 1,278,220.50

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Solution

The third proportional to 853,632 and 1,278,220.50 is: 1,913,995.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,632 : 1,278,220.50 = 1,278,220.50 : x
  2. Step 2: Convert to fraction form
    853,632/1,278,220.50 = 1,278,220.50/x
  3. Step 3: Cross multiply
    853,632x = 1,278,220.50 × 1,278,220.50
  4. Step 4: Simplify right side
    853,632x = 1,633,847,646,620.25
  5. Step 5: Solve for x
    x = 1,633,847,646,620.25/853,632
  6. Step 6: Final answer
    x = 1,913,995.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.