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Finding the Third Proportional to 257,229 and 553,966

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Solution

The third proportional to 257,229 and 553,966 is: 1,193,016.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,229 : 553,966 = 553,966 : x
  2. Step 2: Convert to fraction form
    257,229/553,966 = 553,966/x
  3. Step 3: Cross multiply
    257,229x = 553,966 × 553,966
  4. Step 4: Simplify right side
    257,229x = 306,878,329,156
  5. Step 5: Solve for x
    x = 306,878,329,156/257,229
  6. Step 6: Final answer
    x = 1,193,016.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.