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Finding the Third Proportional to 66,029.75 and 142,379.50

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Solution

The third proportional to 66,029.75 and 142,379.50 is: 307,011.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,029.75 : 142,379.50 = 142,379.50 : x
  2. Step 2: Convert to fraction form
    66,029.75/142,379.50 = 142,379.50/x
  3. Step 3: Cross multiply
    66,029.75x = 142,379.50 × 142,379.50
  4. Step 4: Simplify right side
    66,029.75x = 20,271,922,020.25
  5. Step 5: Solve for x
    x = 20,271,922,020.25/66,029.75
  6. Step 6: Final answer
    x = 307,011.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.