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Finding the Third Proportional to 257,152 and 573,920

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Solution

The third proportional to 257,152 and 573,920 is: 1,280,892.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,152 : 573,920 = 573,920 : x
  2. Step 2: Convert to fraction form
    257,152/573,920 = 573,920/x
  3. Step 3: Cross multiply
    257,152x = 573,920 × 573,920
  4. Step 4: Simplify right side
    257,152x = 329,384,166,400
  5. Step 5: Solve for x
    x = 329,384,166,400/257,152
  6. Step 6: Final answer
    x = 1,280,892.88

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.