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Finding the Third Proportional to 68,769 and 141,817.50

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Solution

The third proportional to 68,769 and 141,817.50 is: 292,460.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,769 : 141,817.50 = 141,817.50 : x
  2. Step 2: Convert to fraction form
    68,769/141,817.50 = 141,817.50/x
  3. Step 3: Cross multiply
    68,769x = 141,817.50 × 141,817.50
  4. Step 4: Simplify right side
    68,769x = 20,112,203,306.25
  5. Step 5: Solve for x
    x = 20,112,203,306.25/68,769
  6. Step 6: Final answer
    x = 292,460.31

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.