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Finding the Third Proportional to 292,410 and 440,775

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Solution

The third proportional to 292,410 and 440,775 is: 664,418.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,410 : 440,775 = 440,775 : x
  2. Step 2: Convert to fraction form
    292,410/440,775 = 440,775/x
  3. Step 3: Cross multiply
    292,410x = 440,775 × 440,775
  4. Step 4: Simplify right side
    292,410x = 194,282,600,625
  5. Step 5: Solve for x
    x = 194,282,600,625/292,410
  6. Step 6: Final answer
    x = 664,418.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.