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Finding the Third Proportional to 838,987 and 1,258,571

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Solution

The third proportional to 838,987 and 1,258,571 is: 1,887,992.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,987 : 1,258,571 = 1,258,571 : x
  2. Step 2: Convert to fraction form
    838,987/1,258,571 = 1,258,571/x
  3. Step 3: Cross multiply
    838,987x = 1,258,571 × 1,258,571
  4. Step 4: Simplify right side
    838,987x = 1,584,000,962,041
  5. Step 5: Solve for x
    x = 1,584,000,962,041/838,987
  6. Step 6: Final answer
    x = 1,887,992.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.