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Finding the Third Proportional to 552.36 and 787.29

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Solution

The third proportional to 552.36 and 787.29 is: 1,122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.36 : 787.29 = 787.29 : x
  2. Step 2: Convert to fraction form
    552.36/787.29 = 787.29/x
  3. Step 3: Cross multiply
    552.36x = 787.29 × 787.29
  4. Step 4: Simplify right side
    552.36x = 619,822.34
  5. Step 5: Solve for x
    x = 619,822.34/552.36
  6. Step 6: Final answer
    x = 1,122.14

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Why These Related Problems?

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