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Finding the Third Proportional to 45,255 and 99,431

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Solution

The third proportional to 45,255 and 99,431 is: 218,462.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,255 : 99,431 = 99,431 : x
  2. Step 2: Convert to fraction form
    45,255/99,431 = 99,431/x
  3. Step 3: Cross multiply
    45,255x = 99,431 × 99,431
  4. Step 4: Simplify right side
    45,255x = 9,886,523,761
  5. Step 5: Solve for x
    x = 9,886,523,761/45,255
  6. Step 6: Final answer
    x = 218,462.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.