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Finding the Third Proportional to 20,878,810 and 31,942,248

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Solution

The third proportional to 20,878,810 and 31,942,248 is: 48,868,072.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,878,810 : 31,942,248 = 31,942,248 : x
  2. Step 2: Convert to fraction form
    20,878,810/31,942,248 = 31,942,248/x
  3. Step 3: Cross multiply
    20,878,810x = 31,942,248 × 31,942,248
  4. Step 4: Simplify right side
    20,878,810x = 1,020,307,207,293,504
  5. Step 5: Solve for x
    x = 1,020,307,207,293,504/20,878,810
  6. Step 6: Final answer
    x = 48,868,072.81

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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.