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Finding the Third Proportional to 144,384 and 217,206

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Solution

The third proportional to 144,384 and 217,206 is: 326,756.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,384 : 217,206 = 217,206 : x
  2. Step 2: Convert to fraction form
    144,384/217,206 = 217,206/x
  3. Step 3: Cross multiply
    144,384x = 217,206 × 217,206
  4. Step 4: Simplify right side
    144,384x = 47,178,446,436
  5. Step 5: Solve for x
    x = 47,178,446,436/144,384
  6. Step 6: Final answer
    x = 326,756.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.