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Finding the Third Proportional to 368.34 and 787.22

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Solution

The third proportional to 368.34 and 787.22 is: 1,682.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.34 : 787.22 = 787.22 : x
  2. Step 2: Convert to fraction form
    368.34/787.22 = 787.22/x
  3. Step 3: Cross multiply
    368.34x = 787.22 × 787.22
  4. Step 4: Simplify right side
    368.34x = 619,713.36
  5. Step 5: Solve for x
    x = 619,713.36/368.34
  6. Step 6: Final answer
    x = 1,682.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.