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Finding the Third Proportional to 815,810 and 1,749,716

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Solution

The third proportional to 815,810 and 1,749,716 is: 3,752,719.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,810 : 1,749,716 = 1,749,716 : x
  2. Step 2: Convert to fraction form
    815,810/1,749,716 = 1,749,716/x
  3. Step 3: Cross multiply
    815,810x = 1,749,716 × 1,749,716
  4. Step 4: Simplify right side
    815,810x = 3,061,506,080,656
  5. Step 5: Solve for x
    x = 3,061,506,080,656/815,810
  6. Step 6: Final answer
    x = 3,752,719.48

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.