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Finding the Third Proportional to 292,991 and 440,267

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Solution

The third proportional to 292,991 and 440,267 is: 661,573.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,991 : 440,267 = 440,267 : x
  2. Step 2: Convert to fraction form
    292,991/440,267 = 440,267/x
  3. Step 3: Cross multiply
    292,991x = 440,267 × 440,267
  4. Step 4: Simplify right side
    292,991x = 193,835,031,289
  5. Step 5: Solve for x
    x = 193,835,031,289/292,991
  6. Step 6: Final answer
    x = 661,573.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.