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Finding the Third Proportional to 358.60 and 760.46

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Solution

The third proportional to 358.60 and 760.46 is: 1,612.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.60 : 760.46 = 760.46 : x
  2. Step 2: Convert to fraction form
    358.60/760.46 = 760.46/x
  3. Step 3: Cross multiply
    358.60x = 760.46 × 760.46
  4. Step 4: Simplify right side
    358.60x = 578,295.92
  5. Step 5: Solve for x
    x = 578,295.92/358.60
  6. Step 6: Final answer
    x = 1,612.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.