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Finding the Third Proportional to 6,543,516 and 9,992,420

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Solution

The third proportional to 6,543,516 and 9,992,420 is: 15,259,144.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543,516 : 9,992,420 = 9,992,420 : x
  2. Step 2: Convert to fraction form
    6,543,516/9,992,420 = 9,992,420/x
  3. Step 3: Cross multiply
    6,543,516x = 9,992,420 × 9,992,420
  4. Step 4: Simplify right side
    6,543,516x = 99,848,457,456,400
  5. Step 5: Solve for x
    x = 99,848,457,456,400/6,543,516
  6. Step 6: Final answer
    x = 15,259,144.69

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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.