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Finding the Third Proportional to 34,141.50 and 69,973.88

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Solution

The third proportional to 34,141.50 and 69,973.88 is: 143,413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,141.50 : 69,973.88 = 69,973.88 : x
  2. Step 2: Convert to fraction form
    34,141.50/69,973.88 = 69,973.88/x
  3. Step 3: Cross multiply
    34,141.50x = 69,973.88 × 69,973.88
  4. Step 4: Simplify right side
    34,141.50x = 4,896,343,182.52
  5. Step 5: Solve for x
    x = 4,896,343,182.52/34,141.50
  6. Step 6: Final answer
    x = 143,413.24

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.