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Finding the Third Proportional to 93,390 and 215,979

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Solution

The third proportional to 93,390 and 215,979 is: 499,485.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,390 : 215,979 = 215,979 : x
  2. Step 2: Convert to fraction form
    93,390/215,979 = 215,979/x
  3. Step 3: Cross multiply
    93,390x = 215,979 × 215,979
  4. Step 4: Simplify right side
    93,390x = 46,646,928,441
  5. Step 5: Solve for x
    x = 46,646,928,441/93,390
  6. Step 6: Final answer
    x = 499,485.26

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.