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Finding the Third Proportional to 257,264 and 533,928

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Solution

The third proportional to 257,264 and 533,928 is: 1,108,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,264 : 533,928 = 533,928 : x
  2. Step 2: Convert to fraction form
    257,264/533,928 = 533,928/x
  3. Step 3: Cross multiply
    257,264x = 533,928 × 533,928
  4. Step 4: Simplify right side
    257,264x = 285,079,109,184
  5. Step 5: Solve for x
    x = 285,079,109,184/257,264
  6. Step 6: Final answer
    x = 1,108,118.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.