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Finding the Third Proportional to 31,191,828 and 69,555,624

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Solution

The third proportional to 31,191,828 and 69,555,624 is: 155,104,241.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,191,828 : 69,555,624 = 69,555,624 : x
  2. Step 2: Convert to fraction form
    31,191,828/69,555,624 = 69,555,624/x
  3. Step 3: Cross multiply
    31,191,828x = 69,555,624 × 69,555,624
  4. Step 4: Simplify right side
    31,191,828x = 4,837,984,830,029,376
  5. Step 5: Solve for x
    x = 4,837,984,830,029,376/31,191,828
  6. Step 6: Final answer
    x = 155,104,241.73

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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.