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Finding the Third Proportional to 418,240 and 664,740

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Solution

The third proportional to 418,240 and 664,740 is: 1,056,520.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,240 : 664,740 = 664,740 : x
  2. Step 2: Convert to fraction form
    418,240/664,740 = 664,740/x
  3. Step 3: Cross multiply
    418,240x = 664,740 × 664,740
  4. Step 4: Simplify right side
    418,240x = 441,879,267,600
  5. Step 5: Solve for x
    x = 441,879,267,600/418,240
  6. Step 6: Final answer
    x = 1,056,520.82

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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.