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Finding the Third Proportional to 982,280 and 2,139,464

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Solution

The third proportional to 982,280 and 2,139,464 is: 4,659,879.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,280 : 2,139,464 = 2,139,464 : x
  2. Step 2: Convert to fraction form
    982,280/2,139,464 = 2,139,464/x
  3. Step 3: Cross multiply
    982,280x = 2,139,464 × 2,139,464
  4. Step 4: Simplify right side
    982,280x = 4,577,306,207,296
  5. Step 5: Solve for x
    x = 4,577,306,207,296/982,280
  6. Step 6: Final answer
    x = 4,659,879.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.