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Finding the Third Proportional to 5,215,899.38 and 7,978,750.88

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Solution

The third proportional to 5,215,899.38 and 7,978,750.88 is: 12,205,079.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215,899.38 : 7,978,750.88 = 7,978,750.88 : x
  2. Step 2: Convert to fraction form
    5,215,899.38/7,978,750.88 = 7,978,750.88/x
  3. Step 3: Cross multiply
    5,215,899.38x = 7,978,750.88 × 7,978,750.88
  4. Step 4: Simplify right side
    5,215,899.38x = 63,660,465,525,313.27
  5. Step 5: Solve for x
    x = 63,660,465,525,313.27/5,215,899.38
  6. Step 6: Final answer
    x = 12,205,079.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.