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Finding the Third Proportional to 3,121,540 and 6,839,584.50

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Solution

The third proportional to 3,121,540 and 6,839,584.50 is: 14,986,165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121,540 : 6,839,584.50 = 6,839,584.50 : x
  2. Step 2: Convert to fraction form
    3,121,540/6,839,584.50 = 6,839,584.50/x
  3. Step 3: Cross multiply
    3,121,540x = 6,839,584.50 × 6,839,584.50
  4. Step 4: Simplify right side
    3,121,540x = 46,779,916,132,640.25
  5. Step 5: Solve for x
    x = 46,779,916,132,640.25/3,121,540
  6. Step 6: Final answer
    x = 14,986,165.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.