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Finding the Third Proportional to 257,593 and 553,274

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Solution

The third proportional to 257,593 and 553,274 is: 1,188,355.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,593 : 553,274 = 553,274 : x
  2. Step 2: Convert to fraction form
    257,593/553,274 = 553,274/x
  3. Step 3: Cross multiply
    257,593x = 553,274 × 553,274
  4. Step 4: Simplify right side
    257,593x = 306,112,119,076
  5. Step 5: Solve for x
    x = 306,112,119,076/257,593
  6. Step 6: Final answer
    x = 1,188,355.74

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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.