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Finding the Third Proportional to 419,212.13 and 664,905.38

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Solution

The third proportional to 419,212.13 and 664,905.38 is: 1,054,595.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,212.13 : 664,905.38 = 664,905.38 : x
  2. Step 2: Convert to fraction form
    419,212.13/664,905.38 = 664,905.38/x
  3. Step 3: Cross multiply
    419,212.13x = 664,905.38 × 664,905.38
  4. Step 4: Simplify right side
    419,212.13x = 442,099,157,703.89
  5. Step 5: Solve for x
    x = 442,099,157,703.89/419,212.13
  6. Step 6: Final answer
    x = 1,054,595.35

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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.