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Finding the Third Proportional to 1,121,290 and 1,681,589

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Solution

The third proportional to 1,121,290 and 1,681,589 is: 2,521,864.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121,290 : 1,681,589 = 1,681,589 : x
  2. Step 2: Convert to fraction form
    1,121,290/1,681,589 = 1,681,589/x
  3. Step 3: Cross multiply
    1,121,290x = 1,681,589 × 1,681,589
  4. Step 4: Simplify right side
    1,121,290x = 2,827,741,564,921
  5. Step 5: Solve for x
    x = 2,827,741,564,921/1,121,290
  6. Step 6: Final answer
    x = 2,521,864.61

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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.