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Finding the Third Proportional to 68,978.25 and 151,503.75

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Solution

The third proportional to 68,978.25 and 151,503.75 is: 332,762.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,978.25 : 151,503.75 = 151,503.75 : x
  2. Step 2: Convert to fraction form
    68,978.25/151,503.75 = 151,503.75/x
  3. Step 3: Cross multiply
    68,978.25x = 151,503.75 × 151,503.75
  4. Step 4: Simplify right side
    68,978.25x = 22,953,386,264.06
  5. Step 5: Solve for x
    x = 22,953,386,264.06/68,978.25
  6. Step 6: Final answer
    x = 332,762.66

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.