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Finding the Third Proportional to 728,199 and 1,130,639

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Solution

The third proportional to 728,199 and 1,130,639 is: 1,755,487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,199 : 1,130,639 = 1,130,639 : x
  2. Step 2: Convert to fraction form
    728,199/1,130,639 = 1,130,639/x
  3. Step 3: Cross multiply
    728,199x = 1,130,639 × 1,130,639
  4. Step 4: Simplify right side
    728,199x = 1,278,344,548,321
  5. Step 5: Solve for x
    x = 1,278,344,548,321/728,199
  6. Step 6: Final answer
    x = 1,755,487.92

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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.