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Finding the Third Proportional to 579.88 and 899.28

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Solution

The third proportional to 579.88 and 899.28 is: 1,394.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.88 : 899.28 = 899.28 : x
  2. Step 2: Convert to fraction form
    579.88/899.28 = 899.28/x
  3. Step 3: Cross multiply
    579.88x = 899.28 × 899.28
  4. Step 4: Simplify right side
    579.88x = 808,706.77
  5. Step 5: Solve for x
    x = 808,706.77/579.88
  6. Step 6: Final answer
    x = 1,394.62

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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.