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Finding the Third Proportional to 6,947,912 and 15,309,382

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Solution

The third proportional to 6,947,912 and 15,309,382 is: 33,733,469.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947,912 : 15,309,382 = 15,309,382 : x
  2. Step 2: Convert to fraction form
    6,947,912/15,309,382 = 15,309,382/x
  3. Step 3: Cross multiply
    6,947,912x = 15,309,382 × 15,309,382
  4. Step 4: Simplify right side
    6,947,912x = 234,377,177,221,924
  5. Step 5: Solve for x
    x = 234,377,177,221,924/6,947,912
  6. Step 6: Final answer
    x = 33,733,469.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.