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Finding the Third Proportional to 411,740 and 880,555

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Solution

The third proportional to 411,740 and 880,555 is: 1,883,171.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,740 : 880,555 = 880,555 : x
  2. Step 2: Convert to fraction form
    411,740/880,555 = 880,555/x
  3. Step 3: Cross multiply
    411,740x = 880,555 × 880,555
  4. Step 4: Simplify right side
    411,740x = 775,377,108,025
  5. Step 5: Solve for x
    x = 775,377,108,025/411,740
  6. Step 6: Final answer
    x = 1,883,171.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.