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Finding the Third Proportional to 257,029 and 553,441

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Solution

The third proportional to 257,029 and 553,441 is: 1,191,682.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,029 : 553,441 = 553,441 : x
  2. Step 2: Convert to fraction form
    257,029/553,441 = 553,441/x
  3. Step 3: Cross multiply
    257,029x = 553,441 × 553,441
  4. Step 4: Simplify right side
    257,029x = 306,296,940,481
  5. Step 5: Solve for x
    x = 306,296,940,481/257,029
  6. Step 6: Final answer
    x = 1,191,682.42

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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.