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Finding the Third Proportional to 31,191,897 and 69,555,744

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Solution

The third proportional to 31,191,897 and 69,555,744 is: 155,104,433.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,191,897 : 69,555,744 = 69,555,744 : x
  2. Step 2: Convert to fraction form
    31,191,897/69,555,744 = 69,555,744/x
  3. Step 3: Cross multiply
    31,191,897x = 69,555,744 × 69,555,744
  4. Step 4: Simplify right side
    31,191,897x = 4,838,001,523,393,536
  5. Step 5: Solve for x
    x = 4,838,001,523,393,536/31,191,897
  6. Step 6: Final answer
    x = 155,104,433.80

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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.