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Finding the Third Proportional to 163,872 and 251,712

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Solution

The third proportional to 163,872 and 251,712 is: 386,636.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,872 : 251,712 = 251,712 : x
  2. Step 2: Convert to fraction form
    163,872/251,712 = 251,712/x
  3. Step 3: Cross multiply
    163,872x = 251,712 × 251,712
  4. Step 4: Simplify right side
    163,872x = 63,358,930,944
  5. Step 5: Solve for x
    x = 63,358,930,944/163,872
  6. Step 6: Final answer
    x = 386,636.71

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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.