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Finding the Third Proportional to 826,497 and 1,252,222.88

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Solution

The third proportional to 826,497 and 1,252,222.88 is: 1,897,238.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,497 : 1,252,222.88 = 1,252,222.88 : x
  2. Step 2: Convert to fraction form
    826,497/1,252,222.88 = 1,252,222.88/x
  3. Step 3: Cross multiply
    826,497x = 1,252,222.88 × 1,252,222.88
  4. Step 4: Simplify right side
    826,497x = 1,568,062,128,673.27
  5. Step 5: Solve for x
    x = 1,568,062,128,673.27/826,497
  6. Step 6: Final answer
    x = 1,897,238.74

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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.