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Finding the Third Proportional to 788,481 and 1,198,302.75

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Solution

The third proportional to 788,481 and 1,198,302.75 is: 1,821,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,481 : 1,198,302.75 = 1,198,302.75 : x
  2. Step 2: Convert to fraction form
    788,481/1,198,302.75 = 1,198,302.75/x
  3. Step 3: Cross multiply
    788,481x = 1,198,302.75 × 1,198,302.75
  4. Step 4: Simplify right side
    788,481x = 1,435,929,480,657.56
  5. Step 5: Solve for x
    x = 1,435,929,480,657.56/788,481
  6. Step 6: Final answer
    x = 1,821,133.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.