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Finding the Third Proportional to 238,520 and 322,788

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Solution

The third proportional to 238,520 and 322,788 is: 436,827.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,520 : 322,788 = 322,788 : x
  2. Step 2: Convert to fraction form
    238,520/322,788 = 322,788/x
  3. Step 3: Cross multiply
    238,520x = 322,788 × 322,788
  4. Step 4: Simplify right side
    238,520x = 104,192,092,944
  5. Step 5: Solve for x
    x = 104,192,092,944/238,520
  6. Step 6: Final answer
    x = 436,827.49

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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.