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Finding the Third Proportional to 581.98 and 898.91

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Solution

The third proportional to 581.98 and 898.91 is: 1,388.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.98 : 898.91 = 898.91 : x
  2. Step 2: Convert to fraction form
    581.98/898.91 = 898.91/x
  3. Step 3: Cross multiply
    581.98x = 898.91 × 898.91
  4. Step 4: Simplify right side
    581.98x = 808,039.47
  5. Step 5: Solve for x
    x = 808,039.47/581.98
  6. Step 6: Final answer
    x = 1,388.44

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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.