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Finding the Third Proportional to 67,999.50 and 145,830.38

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Solution

The third proportional to 67,999.50 and 145,830.38 is: 312,744.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,999.50 : 145,830.38 = 145,830.38 : x
  2. Step 2: Convert to fraction form
    67,999.50/145,830.38 = 145,830.38/x
  3. Step 3: Cross multiply
    67,999.50x = 145,830.38 × 145,830.38
  4. Step 4: Simplify right side
    67,999.50x = 21,266,498,272.64
  5. Step 5: Solve for x
    x = 21,266,498,272.64/67,999.50
  6. Step 6: Final answer
    x = 312,744.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.