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Finding the Third Proportional to 259.61 and 358.80

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Solution

The third proportional to 259.61 and 358.80 is: 495.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.61 : 358.80 = 358.80 : x
  2. Step 2: Convert to fraction form
    259.61/358.80 = 358.80/x
  3. Step 3: Cross multiply
    259.61x = 358.80 × 358.80
  4. Step 4: Simplify right side
    259.61x = 128,740.80
  5. Step 5: Solve for x
    x = 128,740.80/259.61
  6. Step 6: Final answer
    x = 495.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.