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Finding the Third Proportional to 163,956 and 386,886

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Solution

The third proportional to 163,956 and 386,886 is: 912,932.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,956 : 386,886 = 386,886 : x
  2. Step 2: Convert to fraction form
    163,956/386,886 = 386,886/x
  3. Step 3: Cross multiply
    163,956x = 386,886 × 386,886
  4. Step 4: Simplify right side
    163,956x = 149,680,776,996
  5. Step 5: Solve for x
    x = 149,680,776,996/163,956
  6. Step 6: Final answer
    x = 912,932.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.