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Finding the Third Proportional to 7,065,728 and 15,305,272

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Solution

The third proportional to 7,065,728 and 15,305,272 is: 33,153,179.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065,728 : 15,305,272 = 15,305,272 : x
  2. Step 2: Convert to fraction form
    7,065,728/15,305,272 = 15,305,272/x
  3. Step 3: Cross multiply
    7,065,728x = 15,305,272 × 15,305,272
  4. Step 4: Simplify right side
    7,065,728x = 234,251,350,993,984
  5. Step 5: Solve for x
    x = 234,251,350,993,984/7,065,728
  6. Step 6: Final answer
    x = 33,153,179.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.