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Finding the Third Proportional to 2,915,920 and 6,311,072

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Solution

The third proportional to 2,915,920 and 6,311,072 is: 13,659,369.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,915,920 : 6,311,072 = 6,311,072 : x
  2. Step 2: Convert to fraction form
    2,915,920/6,311,072 = 6,311,072/x
  3. Step 3: Cross multiply
    2,915,920x = 6,311,072 × 6,311,072
  4. Step 4: Simplify right side
    2,915,920x = 39,829,629,789,184
  5. Step 5: Solve for x
    x = 39,829,629,789,184/2,915,920
  6. Step 6: Final answer
    x = 13,659,369.87

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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.