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Finding the Third Proportional to 572.38 and 862.84

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Solution

The third proportional to 572.38 and 862.84 is: 1,300.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.38 : 862.84 = 862.84 : x
  2. Step 2: Convert to fraction form
    572.38/862.84 = 862.84/x
  3. Step 3: Cross multiply
    572.38x = 862.84 × 862.84
  4. Step 4: Simplify right side
    572.38x = 744,492.60
  5. Step 5: Solve for x
    x = 744,492.60/572.38
  6. Step 6: Final answer
    x = 1,300.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.