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Finding the Third Proportional to 561.78 and 897.49

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Solution

The third proportional to 561.78 and 897.49 is: 1,433.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.78 : 897.49 = 897.49 : x
  2. Step 2: Convert to fraction form
    561.78/897.49 = 897.49/x
  3. Step 3: Cross multiply
    561.78x = 897.49 × 897.49
  4. Step 4: Simplify right side
    561.78x = 805,481.71
  5. Step 5: Solve for x
    x = 805,481.71/561.78
  6. Step 6: Final answer
    x = 1,433.80

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.