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Finding the Third Proportional to 257,220 and 533,844

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Solution

The third proportional to 257,220 and 533,844 is: 1,107,959.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,220 : 533,844 = 533,844 : x
  2. Step 2: Convert to fraction form
    257,220/533,844 = 533,844/x
  3. Step 3: Cross multiply
    257,220x = 533,844 × 533,844
  4. Step 4: Simplify right side
    257,220x = 284,989,416,336
  5. Step 5: Solve for x
    x = 284,989,416,336/257,220
  6. Step 6: Final answer
    x = 1,107,959.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.