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Finding the Third Proportional to 419,644 and 665,506

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Solution

The third proportional to 419,644 and 665,506 is: 1,055,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,644 : 665,506 = 665,506 : x
  2. Step 2: Convert to fraction form
    419,644/665,506 = 665,506/x
  3. Step 3: Cross multiply
    419,644x = 665,506 × 665,506
  4. Step 4: Simplify right side
    419,644x = 442,898,236,036
  5. Step 5: Solve for x
    x = 442,898,236,036/419,644
  6. Step 6: Final answer
    x = 1,055,414.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.