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Finding the Third Proportional to 142,824 and 217,944

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Solution

The third proportional to 142,824 and 217,944 is: 332,574.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,824 : 217,944 = 217,944 : x
  2. Step 2: Convert to fraction form
    142,824/217,944 = 217,944/x
  3. Step 3: Cross multiply
    142,824x = 217,944 × 217,944
  4. Step 4: Simplify right side
    142,824x = 47,499,587,136
  5. Step 5: Solve for x
    x = 47,499,587,136/142,824
  6. Step 6: Final answer
    x = 332,574.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.