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Finding the Third Proportional to 85,515.75 and 197,947.13

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Solution

The third proportional to 85,515.75 and 197,947.13 is: 458,197.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,515.75 : 197,947.13 = 197,947.13 : x
  2. Step 2: Convert to fraction form
    85,515.75/197,947.13 = 197,947.13/x
  3. Step 3: Cross multiply
    85,515.75x = 197,947.13 × 197,947.13
  4. Step 4: Simplify right side
    85,515.75x = 39,183,064,295.77
  5. Step 5: Solve for x
    x = 39,183,064,295.77/85,515.75
  6. Step 6: Final answer
    x = 458,197.05

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.