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Finding the Third Proportional to 179,154 and 386,280

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Solution

The third proportional to 179,154 and 386,280 is: 832,871.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,154 : 386,280 = 386,280 : x
  2. Step 2: Convert to fraction form
    179,154/386,280 = 386,280/x
  3. Step 3: Cross multiply
    179,154x = 386,280 × 386,280
  4. Step 4: Simplify right side
    179,154x = 149,212,238,400
  5. Step 5: Solve for x
    x = 149,212,238,400/179,154
  6. Step 6: Final answer
    x = 832,871.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.