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Finding the Third Proportional to 387.39 and 598.17

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Solution

The third proportional to 387.39 and 598.17 is: 923.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.39 : 598.17 = 598.17 : x
  2. Step 2: Convert to fraction form
    387.39/598.17 = 598.17/x
  3. Step 3: Cross multiply
    387.39x = 598.17 × 598.17
  4. Step 4: Simplify right side
    387.39x = 357,802.58
  5. Step 5: Solve for x
    x = 357,802.58/387.39
  6. Step 6: Final answer
    x = 923.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.