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Finding the Third Proportional to 567.56 and 891.81

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Solution

The third proportional to 567.56 and 891.81 is: 1,401.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.56 : 891.81 = 891.81 : x
  2. Step 2: Convert to fraction form
    567.56/891.81 = 891.81/x
  3. Step 3: Cross multiply
    567.56x = 891.81 × 891.81
  4. Step 4: Simplify right side
    567.56x = 795,329.54
  5. Step 5: Solve for x
    x = 795,329.54/567.56
  6. Step 6: Final answer
    x = 1,401.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.