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Finding the Third Proportional to 248,103 and 538,215

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Solution

The third proportional to 248,103 and 538,215 is: 1,167,561.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,103 : 538,215 = 538,215 : x
  2. Step 2: Convert to fraction form
    248,103/538,215 = 538,215/x
  3. Step 3: Cross multiply
    248,103x = 538,215 × 538,215
  4. Step 4: Simplify right side
    248,103x = 289,675,386,225
  5. Step 5: Solve for x
    x = 289,675,386,225/248,103
  6. Step 6: Final answer
    x = 1,167,561.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.