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Finding the Third Proportional to 233,208 and 503,280

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Solution

The third proportional to 233,208 and 503,280 is: 1,086,115.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,208 : 503,280 = 503,280 : x
  2. Step 2: Convert to fraction form
    233,208/503,280 = 503,280/x
  3. Step 3: Cross multiply
    233,208x = 503,280 × 503,280
  4. Step 4: Simplify right side
    233,208x = 253,290,758,400
  5. Step 5: Solve for x
    x = 253,290,758,400/233,208
  6. Step 6: Final answer
    x = 1,086,115.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.