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Finding the Third Proportional to 345.52 and 535.99

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Solution

The third proportional to 345.52 and 535.99 is: 831.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.52 : 535.99 = 535.99 : x
  2. Step 2: Convert to fraction form
    345.52/535.99 = 535.99/x
  3. Step 3: Cross multiply
    345.52x = 535.99 × 535.99
  4. Step 4: Simplify right side
    345.52x = 287,287.63
  5. Step 5: Solve for x
    x = 287,287.63/345.52
  6. Step 6: Final answer
    x = 831.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.