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Finding the Third Proportional to 20,240,820 and 31,135,482

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Solution

The third proportional to 20,240,820 and 31,135,482 is: 47,894,217.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,240,820 : 31,135,482 = 31,135,482 : x
  2. Step 2: Convert to fraction form
    20,240,820/31,135,482 = 31,135,482/x
  3. Step 3: Cross multiply
    20,240,820x = 31,135,482 × 31,135,482
  4. Step 4: Simplify right side
    20,240,820x = 969,418,239,372,324
  5. Step 5: Solve for x
    x = 969,418,239,372,324/20,240,820
  6. Step 6: Final answer
    x = 47,894,217.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.