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Finding the Third Proportional to 161,560 and 268,328

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Solution

The third proportional to 161,560 and 268,328 is: 445,654.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,560 : 268,328 = 268,328 : x
  2. Step 2: Convert to fraction form
    161,560/268,328 = 268,328/x
  3. Step 3: Cross multiply
    161,560x = 268,328 × 268,328
  4. Step 4: Simplify right side
    161,560x = 71,999,915,584
  5. Step 5: Solve for x
    x = 71,999,915,584/161,560
  6. Step 6: Final answer
    x = 445,654.34

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.