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Finding the Third Proportional to 341.56 and 699.10

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Solution

The third proportional to 341.56 and 699.10 is: 1,430.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.56 : 699.10 = 699.10 : x
  2. Step 2: Convert to fraction form
    341.56/699.10 = 699.10/x
  3. Step 3: Cross multiply
    341.56x = 699.10 × 699.10
  4. Step 4: Simplify right side
    341.56x = 488,740.26
  5. Step 5: Solve for x
    x = 488,740.26/341.56
  6. Step 6: Final answer
    x = 1,430.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.