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Finding the Third Proportional to 3,129,845 and 6,857,470

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Solution

The third proportional to 3,129,845 and 6,857,470 is: 15,024,672.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129,845 : 6,857,470 = 6,857,470 : x
  2. Step 2: Convert to fraction form
    3,129,845/6,857,470 = 6,857,470/x
  3. Step 3: Cross multiply
    3,129,845x = 6,857,470 × 6,857,470
  4. Step 4: Simplify right side
    3,129,845x = 47,024,894,800,900
  5. Step 5: Solve for x
    x = 47,024,894,800,900/3,129,845
  6. Step 6: Final answer
    x = 15,024,672.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.