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Finding the Third Proportional to 360.28 and 785.53

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Solution

The third proportional to 360.28 and 785.53 is: 1,712.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.28 : 785.53 = 785.53 : x
  2. Step 2: Convert to fraction form
    360.28/785.53 = 785.53/x
  3. Step 3: Cross multiply
    360.28x = 785.53 × 785.53
  4. Step 4: Simplify right side
    360.28x = 617,059.34
  5. Step 5: Solve for x
    x = 617,059.34/360.28
  6. Step 6: Final answer
    x = 1,712.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.