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Finding the Third Proportional to 85,639.50 and 180,510.75

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Solution

The third proportional to 85,639.50 and 180,510.75 is: 380,480.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,639.50 : 180,510.75 = 180,510.75 : x
  2. Step 2: Convert to fraction form
    85,639.50/180,510.75 = 180,510.75/x
  3. Step 3: Cross multiply
    85,639.50x = 180,510.75 × 180,510.75
  4. Step 4: Simplify right side
    85,639.50x = 32,584,130,865.56
  5. Step 5: Solve for x
    x = 32,584,130,865.56/85,639.50
  6. Step 6: Final answer
    x = 380,480.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.