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Finding the Third Proportional to 31,900,675.50 and 69,976,885.50

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Solution

The third proportional to 31,900,675.50 and 69,976,885.50 is: 153,500,339.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,900,675.50 : 69,976,885.50 = 69,976,885.50 : x
  2. Step 2: Convert to fraction form
    31,900,675.50/69,976,885.50 = 69,976,885.50/x
  3. Step 3: Cross multiply
    31,900,675.50x = 69,976,885.50 × 69,976,885.50
  4. Step 4: Simplify right side
    31,900,675.50x = 4,896,764,504,280,110
  5. Step 5: Solve for x
    x = 4,896,764,504,280,110/31,900,675.50
  6. Step 6: Final answer
    x = 153,500,339.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.