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Finding the Third Proportional to 94,040 and 144,042

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Solution

The third proportional to 94,040 and 144,042 is: 220,630.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,040 : 144,042 = 144,042 : x
  2. Step 2: Convert to fraction form
    94,040/144,042 = 144,042/x
  3. Step 3: Cross multiply
    94,040x = 144,042 × 144,042
  4. Step 4: Simplify right side
    94,040x = 20,748,097,764
  5. Step 5: Solve for x
    x = 20,748,097,764/94,040
  6. Step 6: Final answer
    x = 220,630.56

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.