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Finding the Third Proportional to 346.87 and 743.10

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Solution

The third proportional to 346.87 and 743.10 is: 1,591.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.87 : 743.10 = 743.10 : x
  2. Step 2: Convert to fraction form
    346.87/743.10 = 743.10/x
  3. Step 3: Cross multiply
    346.87x = 743.10 × 743.10
  4. Step 4: Simplify right side
    346.87x = 552,194.13
  5. Step 5: Solve for x
    x = 552,194.13/346.87
  6. Step 6: Final answer
    x = 1,591.94

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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.