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Finding the Third Proportional to 238,509 and 322,771

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Solution

The third proportional to 238,509 and 322,771 is: 436,801.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,509 : 322,771 = 322,771 : x
  2. Step 2: Convert to fraction form
    238,509/322,771 = 322,771/x
  3. Step 3: Cross multiply
    238,509x = 322,771 × 322,771
  4. Step 4: Simplify right side
    238,509x = 104,181,118,441
  5. Step 5: Solve for x
    x = 104,181,118,441/238,509
  6. Step 6: Final answer
    x = 436,801.62

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.