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Finding the Third Proportional to 583.17 and 891.70

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Solution

The third proportional to 583.17 and 891.70 is: 1,363.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.17 : 891.70 = 891.70 : x
  2. Step 2: Convert to fraction form
    583.17/891.70 = 891.70/x
  3. Step 3: Cross multiply
    583.17x = 891.70 × 891.70
  4. Step 4: Simplify right side
    583.17x = 795,134.46
  5. Step 5: Solve for x
    x = 795,134.46/583.17
  6. Step 6: Final answer
    x = 1,363.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.