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Finding the Third Proportional to 346.78 and 548.96

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Solution

The third proportional to 346.78 and 548.96 is: 869.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.78 : 548.96 = 548.96 : x
  2. Step 2: Convert to fraction form
    346.78/548.96 = 548.96/x
  3. Step 3: Cross multiply
    346.78x = 548.96 × 548.96
  4. Step 4: Simplify right side
    346.78x = 301,362.40
  5. Step 5: Solve for x
    x = 301,362.40/346.78
  6. Step 6: Final answer
    x = 869.03

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.