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Finding the Third Proportional to 713,189 and 1,107,872

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Solution

The third proportional to 713,189 and 1,107,872 is: 1,720,974.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,189 : 1,107,872 = 1,107,872 : x
  2. Step 2: Convert to fraction form
    713,189/1,107,872 = 1,107,872/x
  3. Step 3: Cross multiply
    713,189x = 1,107,872 × 1,107,872
  4. Step 4: Simplify right side
    713,189x = 1,227,380,368,384
  5. Step 5: Solve for x
    x = 1,227,380,368,384/713,189
  6. Step 6: Final answer
    x = 1,720,974.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.