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Finding the Third Proportional to 564.48 and 830.37

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Solution

The third proportional to 564.48 and 830.37 is: 1,221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.48 : 830.37 = 830.37 : x
  2. Step 2: Convert to fraction form
    564.48/830.37 = 830.37/x
  3. Step 3: Cross multiply
    564.48x = 830.37 × 830.37
  4. Step 4: Simplify right side
    564.48x = 689,509.67
  5. Step 5: Solve for x
    x = 689,509.67/564.48
  6. Step 6: Final answer
    x = 1,221.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.