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Finding the Third Proportional to 207,015 and 292,986

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Solution

The third proportional to 207,015 and 292,986 is: 414,659.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,015 : 292,986 = 292,986 : x
  2. Step 2: Convert to fraction form
    207,015/292,986 = 292,986/x
  3. Step 3: Cross multiply
    207,015x = 292,986 × 292,986
  4. Step 4: Simplify right side
    207,015x = 85,840,796,196
  5. Step 5: Solve for x
    x = 85,840,796,196/207,015
  6. Step 6: Final answer
    x = 414,659.79

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.