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Finding the Third Proportional to 10,115,280 and 21,910,176

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Solution

The third proportional to 10,115,280 and 21,910,176 is: 47,458,479.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,115,280 : 21,910,176 = 21,910,176 : x
  2. Step 2: Convert to fraction form
    10,115,280/21,910,176 = 21,910,176/x
  3. Step 3: Cross multiply
    10,115,280x = 21,910,176 × 21,910,176
  4. Step 4: Simplify right side
    10,115,280x = 480,055,812,350,976
  5. Step 5: Solve for x
    x = 480,055,812,350,976/10,115,280
  6. Step 6: Final answer
    x = 47,458,479.88

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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.