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Finding the Third Proportional to 105,287 and 230,257

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Solution

The third proportional to 105,287 and 230,257 is: 503,559.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,287 : 230,257 = 230,257 : x
  2. Step 2: Convert to fraction form
    105,287/230,257 = 230,257/x
  3. Step 3: Cross multiply
    105,287x = 230,257 × 230,257
  4. Step 4: Simplify right side
    105,287x = 53,018,286,049
  5. Step 5: Solve for x
    x = 53,018,286,049/105,287
  6. Step 6: Final answer
    x = 503,559.66

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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.