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Finding the Third Proportional to 567.04 and 876.19

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Solution

The third proportional to 567.04 and 876.19 is: 1,353.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.04 : 876.19 = 876.19 : x
  2. Step 2: Convert to fraction form
    567.04/876.19 = 876.19/x
  3. Step 3: Cross multiply
    567.04x = 876.19 × 876.19
  4. Step 4: Simplify right side
    567.04x = 767,705.82
  5. Step 5: Solve for x
    x = 767,705.82/567.04
  6. Step 6: Final answer
    x = 1,353.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.