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Finding the Third Proportional to 20,380,960 and 31,811,712

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Solution

The third proportional to 20,380,960 and 31,811,712 is: 49,653,452.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,380,960 : 31,811,712 = 31,811,712 : x
  2. Step 2: Convert to fraction form
    20,380,960/31,811,712 = 31,811,712/x
  3. Step 3: Cross multiply
    20,380,960x = 31,811,712 × 31,811,712
  4. Step 4: Simplify right side
    20,380,960x = 1,011,985,020,370,944
  5. Step 5: Solve for x
    x = 1,011,985,020,370,944/20,380,960
  6. Step 6: Final answer
    x = 49,653,452.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.