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Finding the Third Proportional to 68,017.50 and 145,861.50

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Solution

The third proportional to 68,017.50 and 145,861.50 is: 312,795.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,017.50 : 145,861.50 = 145,861.50 : x
  2. Step 2: Convert to fraction form
    68,017.50/145,861.50 = 145,861.50/x
  3. Step 3: Cross multiply
    68,017.50x = 145,861.50 × 145,861.50
  4. Step 4: Simplify right side
    68,017.50x = 21,275,577,182.25
  5. Step 5: Solve for x
    x = 21,275,577,182.25/68,017.50
  6. Step 6: Final answer
    x = 312,795.64

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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.