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Finding the Third Proportional to 357.88 and 782.13

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Solution

The third proportional to 357.88 and 782.13 is: 1,709.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.88 : 782.13 = 782.13 : x
  2. Step 2: Convert to fraction form
    357.88/782.13 = 782.13/x
  3. Step 3: Cross multiply
    357.88x = 782.13 × 782.13
  4. Step 4: Simplify right side
    357.88x = 611,719.52
  5. Step 5: Solve for x
    x = 611,719.52/357.88
  6. Step 6: Final answer
    x = 1,709.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.