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Finding the Third Proportional to 257,280 and 397,584

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Solution

The third proportional to 257,280 and 397,584 is: 614,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,280 : 397,584 = 397,584 : x
  2. Step 2: Convert to fraction form
    257,280/397,584 = 397,584/x
  3. Step 3: Cross multiply
    257,280x = 397,584 × 397,584
  4. Step 4: Simplify right side
    257,280x = 158,073,037,056
  5. Step 5: Solve for x
    x = 158,073,037,056/257,280
  6. Step 6: Final answer
    x = 614,400.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.