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Finding the Third Proportional to 5,659,643 and 12,215,569

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Solution

The third proportional to 5,659,643 and 12,215,569 is: 26,365,642.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659,643 : 12,215,569 = 12,215,569 : x
  2. Step 2: Convert to fraction form
    5,659,643/12,215,569 = 12,215,569/x
  3. Step 3: Cross multiply
    5,659,643x = 12,215,569 × 12,215,569
  4. Step 4: Simplify right side
    5,659,643x = 149,220,125,993,761
  5. Step 5: Solve for x
    x = 149,220,125,993,761/5,659,643
  6. Step 6: Final answer
    x = 26,365,642.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.