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Finding the Third Proportional to 257,098 and 553,664

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Solution

The third proportional to 257,098 and 553,664 is: 1,192,322.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,098 : 553,664 = 553,664 : x
  2. Step 2: Convert to fraction form
    257,098/553,664 = 553,664/x
  3. Step 3: Cross multiply
    257,098x = 553,664 × 553,664
  4. Step 4: Simplify right side
    257,098x = 306,543,824,896
  5. Step 5: Solve for x
    x = 306,543,824,896/257,098
  6. Step 6: Final answer
    x = 1,192,322.87

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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.