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Finding the Third Proportional to 404.68 and 866.00

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Solution

The third proportional to 404.68 and 866.00 is: 1,853.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.68 : 866.00 = 866.00 : x
  2. Step 2: Convert to fraction form
    404.68/866.00 = 866.00/x
  3. Step 3: Cross multiply
    404.68x = 866.00 × 866.00
  4. Step 4: Simplify right side
    404.68x = 749,962.77
  5. Step 5: Solve for x
    x = 749,962.77/404.68
  6. Step 6: Final answer
    x = 1,853.21

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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.