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Finding the Third Proportional to 553 and 598

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Solution

The third proportional to 553 and 598 is: 646.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    553 : 598 = 598 : x
  2. Step 2: Convert to fraction form
    553/598 = 598/x
  3. Step 3: Cross multiply
    553x = 598 × 598
  4. Step 4: Simplify right side
    553x = 357,604
  5. Step 5: Solve for x
    x = 357,604/553
  6. Step 6: Final answer
    x = 646.66

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.