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Finding the Third Proportional to 20,878,724 and 31,942,110

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Solution

The third proportional to 20,878,724 and 31,942,110 is: 48,867,851.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,878,724 : 31,942,110 = 31,942,110 : x
  2. Step 2: Convert to fraction form
    20,878,724/31,942,110 = 31,942,110/x
  3. Step 3: Cross multiply
    20,878,724x = 31,942,110 × 31,942,110
  4. Step 4: Simplify right side
    20,878,724x = 1,020,298,391,252,100
  5. Step 5: Solve for x
    x = 1,020,298,391,252,100/20,878,724
  6. Step 6: Final answer
    x = 48,867,851.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.