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Finding the Third Proportional to 633 and 904

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Solution

The third proportional to 633 and 904 is: 1,291.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    633 : 904 = 904 : x
  2. Step 2: Convert to fraction form
    633/904 = 904/x
  3. Step 3: Cross multiply
    633x = 904 × 904
  4. Step 4: Simplify right side
    633x = 817,216
  5. Step 5: Solve for x
    x = 817,216/633
  6. Step 6: Final answer
    x = 1,291.02

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.