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Finding the Third Proportional to 85,506.75 and 187,431

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Solution

The third proportional to 85,506.75 and 187,431 is: 410,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,506.75 : 187,431 = 187,431 : x
  2. Step 2: Convert to fraction form
    85,506.75/187,431 = 187,431/x
  3. Step 3: Cross multiply
    85,506.75x = 187,431 × 187,431
  4. Step 4: Simplify right side
    85,506.75x = 35,130,379,761
  5. Step 5: Solve for x
    x = 35,130,379,761/85,506.75
  6. Step 6: Final answer
    x = 410,849.20

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Why These Related Problems?

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