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Finding the Third Proportional to 621.74 and 934.14

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Solution

The third proportional to 621.74 and 934.14 is: 1,403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.74 : 934.14 = 934.14 : x
  2. Step 2: Convert to fraction form
    621.74/934.14 = 934.14/x
  3. Step 3: Cross multiply
    621.74x = 934.14 × 934.14
  4. Step 4: Simplify right side
    621.74x = 872,611.41
  5. Step 5: Solve for x
    x = 872,611.41/621.74
  6. Step 6: Final answer
    x = 1,403.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.