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Finding the Third Proportional to 217,980 and 342,522

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Solution

The third proportional to 217,980 and 342,522 is: 538,220.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,980 : 342,522 = 342,522 : x
  2. Step 2: Convert to fraction form
    217,980/342,522 = 342,522/x
  3. Step 3: Cross multiply
    217,980x = 342,522 × 342,522
  4. Step 4: Simplify right side
    217,980x = 117,321,320,484
  5. Step 5: Solve for x
    x = 117,321,320,484/217,980
  6. Step 6: Final answer
    x = 538,220.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.