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Finding the Third Proportional to 207,009 and 292,977

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Solution

The third proportional to 207,009 and 292,977 is: 414,646.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,009 : 292,977 = 292,977 : x
  2. Step 2: Convert to fraction form
    207,009/292,977 = 292,977/x
  3. Step 3: Cross multiply
    207,009x = 292,977 × 292,977
  4. Step 4: Simplify right side
    207,009x = 85,835,522,529
  5. Step 5: Solve for x
    x = 85,835,522,529/207,009
  6. Step 6: Final answer
    x = 414,646.33

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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.