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Finding the Third Proportional to 20,702,470 and 31,343,846

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Solution

The third proportional to 20,702,470 and 31,343,846 is: 47,455,046.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,702,470 : 31,343,846 = 31,343,846 : x
  2. Step 2: Convert to fraction form
    20,702,470/31,343,846 = 31,343,846/x
  3. Step 3: Cross multiply
    20,702,470x = 31,343,846 × 31,343,846
  4. Step 4: Simplify right side
    20,702,470x = 982,436,682,071,716
  5. Step 5: Solve for x
    x = 982,436,682,071,716/20,702,470
  6. Step 6: Final answer
    x = 47,455,046.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.