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Finding the Third Proportional to 5,290,309.13 and 7,449,883.88

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Solution

The third proportional to 5,290,309.13 and 7,449,883.88 is: 10,491,025.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290,309.13 : 7,449,883.88 = 7,449,883.88 : x
  2. Step 2: Convert to fraction form
    5,290,309.13/7,449,883.88 = 7,449,883.88/x
  3. Step 3: Cross multiply
    5,290,309.13x = 7,449,883.88 × 7,449,883.88
  4. Step 4: Simplify right side
    5,290,309.13x = 55,500,769,750,985.02
  5. Step 5: Solve for x
    x = 55,500,769,750,985.02/5,290,309.13
  6. Step 6: Final answer
    x = 10,491,025.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.