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Finding the Third Proportional to 2,188,711.76 and 3,117,860.86

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Solution

The third proportional to 2,188,711.76 and 3,117,860.86 is: 4,441,451.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188,711.76 : 3,117,860.86 = 3,117,860.86 : x
  2. Step 2: Convert to fraction form
    2,188,711.76/3,117,860.86 = 3,117,860.86/x
  3. Step 3: Cross multiply
    2,188,711.76x = 3,117,860.86 × 3,117,860.86
  4. Step 4: Simplify right side
    2,188,711.76x = 9,721,056,338,422.61
  5. Step 5: Solve for x
    x = 9,721,056,338,422.61/2,188,711.76
  6. Step 6: Final answer
    x = 4,441,451.14

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.