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Finding the Third Proportional to 691,419 and 1,500,918

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Solution

The third proportional to 691,419 and 1,500,918 is: 3,258,161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,419 : 1,500,918 = 1,500,918 : x
  2. Step 2: Convert to fraction form
    691,419/1,500,918 = 1,500,918/x
  3. Step 3: Cross multiply
    691,419x = 1,500,918 × 1,500,918
  4. Step 4: Simplify right side
    691,419x = 2,252,754,842,724
  5. Step 5: Solve for x
    x = 2,252,754,842,724/691,419
  6. Step 6: Final answer
    x = 3,258,161.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.