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Finding the Third Proportional to 832.78 and 1,283.34

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Solution

The third proportional to 832.78 and 1,283.34 is: 1,977.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.78 : 1,283.34 = 1,283.34 : x
  2. Step 2: Convert to fraction form
    832.78/1,283.34 = 1,283.34/x
  3. Step 3: Cross multiply
    832.78x = 1,283.34 × 1,283.34
  4. Step 4: Simplify right side
    832.78x = 1,646,971.18
  5. Step 5: Solve for x
    x = 1,646,971.18/832.78
  6. Step 6: Final answer
    x = 1,977.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.