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Finding the Third Proportional to 575 and 687

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Solution

The third proportional to 575 and 687 is: 820.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    575 : 687 = 687 : x
  2. Step 2: Convert to fraction form
    575/687 = 687/x
  3. Step 3: Cross multiply
    575x = 687 × 687
  4. Step 4: Simplify right side
    575x = 471,969
  5. Step 5: Solve for x
    x = 471,969/575
  6. Step 6: Final answer
    x = 820.82

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These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.