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Finding the Third Proportional to 238,833 and 503,586

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Solution

The third proportional to 238,833 and 503,586 is: 1,061,825.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,833 : 503,586 = 503,586 : x
  2. Step 2: Convert to fraction form
    238,833/503,586 = 503,586/x
  3. Step 3: Cross multiply
    238,833x = 503,586 × 503,586
  4. Step 4: Simplify right side
    238,833x = 253,598,859,396
  5. Step 5: Solve for x
    x = 253,598,859,396/238,833
  6. Step 6: Final answer
    x = 1,061,825.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.