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Finding the Third Proportional to 31,191,747 and 69,555,477

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Solution

The third proportional to 31,191,747 and 69,555,477 is: 155,103,988.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,191,747 : 69,555,477 = 69,555,477 : x
  2. Step 2: Convert to fraction form
    31,191,747/69,555,477 = 69,555,477/x
  3. Step 3: Cross multiply
    31,191,747x = 69,555,477 × 69,555,477
  4. Step 4: Simplify right side
    31,191,747x = 4,837,964,380,697,529
  5. Step 5: Solve for x
    x = 4,837,964,380,697,529/31,191,747
  6. Step 6: Final answer
    x = 155,103,988.91

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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.