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Finding the Third Proportional to 583.45 and 903.39

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Solution

The third proportional to 583.45 and 903.39 is: 1,398.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.45 : 903.39 = 903.39 : x
  2. Step 2: Convert to fraction form
    583.45/903.39 = 903.39/x
  3. Step 3: Cross multiply
    583.45x = 903.39 × 903.39
  4. Step 4: Simplify right side
    583.45x = 816,118.15
  5. Step 5: Solve for x
    x = 816,118.15/583.45
  6. Step 6: Final answer
    x = 1,398.77

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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.