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Finding the Third Proportional to 101,424 and 209,312

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Solution

The third proportional to 101,424 and 209,312 is: 431,963.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,424 : 209,312 = 209,312 : x
  2. Step 2: Convert to fraction form
    101,424/209,312 = 209,312/x
  3. Step 3: Cross multiply
    101,424x = 209,312 × 209,312
  4. Step 4: Simplify right side
    101,424x = 43,811,513,344
  5. Step 5: Solve for x
    x = 43,811,513,344/101,424
  6. Step 6: Final answer
    x = 431,963.97

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.