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Finding the Third Proportional to 45,257 and 99,435

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Solution

The third proportional to 45,257 and 99,435 is: 218,470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,257 : 99,435 = 99,435 : x
  2. Step 2: Convert to fraction form
    45,257/99,435 = 99,435/x
  3. Step 3: Cross multiply
    45,257x = 99,435 × 99,435
  4. Step 4: Simplify right side
    45,257x = 9,887,319,225
  5. Step 5: Solve for x
    x = 9,887,319,225/45,257
  6. Step 6: Final answer
    x = 218,470.50

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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.