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Finding the Third Proportional to 427,902.38 and 666,390.38

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Solution

The third proportional to 427,902.38 and 666,390.38 is: 1,037,797.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,902.38 : 666,390.38 = 666,390.38 : x
  2. Step 2: Convert to fraction form
    427,902.38/666,390.38 = 666,390.38/x
  3. Step 3: Cross multiply
    427,902.38x = 666,390.38 × 666,390.38
  4. Step 4: Simplify right side
    427,902.38x = 444,076,131,892.64
  5. Step 5: Solve for x
    x = 444,076,131,892.64/427,902.38
  6. Step 6: Final answer
    x = 1,037,797.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.