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Finding the Third Proportional to 1,265,810 and 1,690,909

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Solution

The third proportional to 1,265,810 and 1,690,909 is: 2,258,769.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265,810 : 1,690,909 = 1,690,909 : x
  2. Step 2: Convert to fraction form
    1,265,810/1,690,909 = 1,690,909/x
  3. Step 3: Cross multiply
    1,265,810x = 1,690,909 × 1,690,909
  4. Step 4: Simplify right side
    1,265,810x = 2,859,173,246,281
  5. Step 5: Solve for x
    x = 2,859,173,246,281/1,265,810
  6. Step 6: Final answer
    x = 2,258,769.68

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.