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Finding the Third Proportional to 45,999 and 85,436

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Solution

The third proportional to 45,999 and 85,436 is: 158,684.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,999 : 85,436 = 85,436 : x
  2. Step 2: Convert to fraction form
    45,999/85,436 = 85,436/x
  3. Step 3: Cross multiply
    45,999x = 85,436 × 85,436
  4. Step 4: Simplify right side
    45,999x = 7,299,310,096
  5. Step 5: Solve for x
    x = 7,299,310,096/45,999
  6. Step 6: Final answer
    x = 158,684.10

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.