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Finding the Third Proportional to 356.16 and 782.34

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Solution

The third proportional to 356.16 and 782.34 is: 1,718.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.16 : 782.34 = 782.34 : x
  2. Step 2: Convert to fraction form
    356.16/782.34 = 782.34/x
  3. Step 3: Cross multiply
    356.16x = 782.34 × 782.34
  4. Step 4: Simplify right side
    356.16x = 612,061.74
  5. Step 5: Solve for x
    x = 612,061.74/356.16
  6. Step 6: Final answer
    x = 1,718.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.