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Finding the Third Proportional to 982,605 and 2,138,208

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Solution

The third proportional to 982,605 and 2,138,208 is: 4,652,870.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,605 : 2,138,208 = 2,138,208 : x
  2. Step 2: Convert to fraction form
    982,605/2,138,208 = 2,138,208/x
  3. Step 3: Cross multiply
    982,605x = 2,138,208 × 2,138,208
  4. Step 4: Simplify right side
    982,605x = 4,571,933,451,264
  5. Step 5: Solve for x
    x = 4,571,933,451,264/982,605
  6. Step 6: Final answer
    x = 4,652,870.13

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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.