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Finding the Third Proportional to 69,148.50 and 143,169

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Solution

The third proportional to 69,148.50 and 143,169 is: 296,425.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,148.50 : 143,169 = 143,169 : x
  2. Step 2: Convert to fraction form
    69,148.50/143,169 = 143,169/x
  3. Step 3: Cross multiply
    69,148.50x = 143,169 × 143,169
  4. Step 4: Simplify right side
    69,148.50x = 20,497,362,561
  5. Step 5: Solve for x
    x = 20,497,362,561/69,148.50
  6. Step 6: Final answer
    x = 296,425.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.