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Finding the Third Proportional to 6,931,540 and 15,456,866

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Solution

The third proportional to 6,931,540 and 15,456,866 is: 34,467,767.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931,540 : 15,456,866 = 15,456,866 : x
  2. Step 2: Convert to fraction form
    6,931,540/15,456,866 = 15,456,866/x
  3. Step 3: Cross multiply
    6,931,540x = 15,456,866 × 15,456,866
  4. Step 4: Simplify right side
    6,931,540x = 238,914,706,541,956
  5. Step 5: Solve for x
    x = 238,914,706,541,956/6,931,540
  6. Step 6: Final answer
    x = 34,467,767.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.