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Finding the Third Proportional to 4,200,987.80 and 6,388,645.61

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Solution

The third proportional to 4,200,987.80 and 6,388,645.61 is: 9,715,522.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200,987.80 : 6,388,645.61 = 6,388,645.61 : x
  2. Step 2: Convert to fraction form
    4,200,987.80/6,388,645.61 = 6,388,645.61/x
  3. Step 3: Cross multiply
    4,200,987.80x = 6,388,645.61 × 6,388,645.61
  4. Step 4: Simplify right side
    4,200,987.80x = 40,814,792,672,275.81
  5. Step 5: Solve for x
    x = 40,814,792,672,275.81/4,200,987.80
  6. Step 6: Final answer
    x = 9,715,522.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.