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Finding the Third Proportional to 31,191,896 and 69,555,742

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Solution

The third proportional to 31,191,896 and 69,555,742 is: 155,104,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,191,896 : 69,555,742 = 69,555,742 : x
  2. Step 2: Convert to fraction form
    31,191,896/69,555,742 = 69,555,742/x
  3. Step 3: Cross multiply
    31,191,896x = 69,555,742 × 69,555,742
  4. Step 4: Simplify right side
    31,191,896x = 4,838,001,245,170,564
  5. Step 5: Solve for x
    x = 4,838,001,245,170,564/31,191,896
  6. Step 6: Final answer
    x = 155,104,429.85

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.