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Finding the Third Proportional to 1,253,351 and 1,909,403

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Solution

The third proportional to 1,253,351 and 1,909,403 is: 2,908,857.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253,351 : 1,909,403 = 1,909,403 : x
  2. Step 2: Convert to fraction form
    1,253,351/1,909,403 = 1,909,403/x
  3. Step 3: Cross multiply
    1,253,351x = 1,909,403 × 1,909,403
  4. Step 4: Simplify right side
    1,253,351x = 3,645,819,816,409
  5. Step 5: Solve for x
    x = 3,645,819,816,409/1,253,351
  6. Step 6: Final answer
    x = 2,908,857.79

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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.