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Finding the Third Proportional to 65,110.50 and 142,728.75

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Solution

The third proportional to 65,110.50 and 142,728.75 is: 312,875.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,110.50 : 142,728.75 = 142,728.75 : x
  2. Step 2: Convert to fraction form
    65,110.50/142,728.75 = 142,728.75/x
  3. Step 3: Cross multiply
    65,110.50x = 142,728.75 × 142,728.75
  4. Step 4: Simplify right side
    65,110.50x = 20,371,496,076.56
  5. Step 5: Solve for x
    x = 20,371,496,076.56/65,110.50
  6. Step 6: Final answer
    x = 312,875.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.