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Finding the Third Proportional to 643,617 and 1,386,909

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Solution

The third proportional to 643,617 and 1,386,909 is: 2,988,604.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,617 : 1,386,909 = 1,386,909 : x
  2. Step 2: Convert to fraction form
    643,617/1,386,909 = 1,386,909/x
  3. Step 3: Cross multiply
    643,617x = 1,386,909 × 1,386,909
  4. Step 4: Simplify right side
    643,617x = 1,923,516,574,281
  5. Step 5: Solve for x
    x = 1,923,516,574,281/643,617
  6. Step 6: Final answer
    x = 2,988,604.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.