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Finding the Third Proportional to 257,592 and 553,272

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Solution

The third proportional to 257,592 and 553,272 is: 1,188,351.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,592 : 553,272 = 553,272 : x
  2. Step 2: Convert to fraction form
    257,592/553,272 = 553,272/x
  3. Step 3: Cross multiply
    257,592x = 553,272 × 553,272
  4. Step 4: Simplify right side
    257,592x = 306,109,905,984
  5. Step 5: Solve for x
    x = 306,109,905,984/257,592
  6. Step 6: Final answer
    x = 1,188,351.76

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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.