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Finding the Third Proportional to 99,688.50 and 142,188.75

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Solution

The third proportional to 99,688.50 and 142,188.75 is: 202,808.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,688.50 : 142,188.75 = 142,188.75 : x
  2. Step 2: Convert to fraction form
    99,688.50/142,188.75 = 142,188.75/x
  3. Step 3: Cross multiply
    99,688.50x = 142,188.75 × 142,188.75
  4. Step 4: Simplify right side
    99,688.50x = 20,217,640,626.56
  5. Step 5: Solve for x
    x = 20,217,640,626.56/99,688.50
  6. Step 6: Final answer
    x = 202,808.15

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.