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Finding the Third Proportional to 163,638 and 251,433

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Solution

The third proportional to 163,638 and 251,433 is: 386,331.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,638 : 251,433 = 251,433 : x
  2. Step 2: Convert to fraction form
    163,638/251,433 = 251,433/x
  3. Step 3: Cross multiply
    163,638x = 251,433 × 251,433
  4. Step 4: Simplify right side
    163,638x = 63,218,553,489
  5. Step 5: Solve for x
    x = 63,218,553,489/163,638
  6. Step 6: Final answer
    x = 386,331.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.