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Finding the Third Proportional to 69,923,803.50 and 109,689,741

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Solution

The third proportional to 69,923,803.50 and 109,689,741 is: 172,070,720.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,923,803.50 : 109,689,741 = 109,689,741 : x
  2. Step 2: Convert to fraction form
    69,923,803.50/109,689,741 = 109,689,741/x
  3. Step 3: Cross multiply
    69,923,803.50x = 109,689,741 × 109,689,741
  4. Step 4: Simplify right side
    69,923,803.50x = 12,031,839,280,647,080
  5. Step 5: Solve for x
    x = 12,031,839,280,647,080/69,923,803.50
  6. Step 6: Final answer
    x = 172,070,720.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.