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Finding the Third Proportional to 564.05 and 840.09

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Solution

The third proportional to 564.05 and 840.09 is: 1,251.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.05 : 840.09 = 840.09 : x
  2. Step 2: Convert to fraction form
    564.05/840.09 = 840.09/x
  3. Step 3: Cross multiply
    564.05x = 840.09 × 840.09
  4. Step 4: Simplify right side
    564.05x = 705,757.51
  5. Step 5: Solve for x
    x = 705,757.51/564.05
  6. Step 6: Final answer
    x = 1,251.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.