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Finding the Third Proportional to 621.84 and 846.98

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Solution

The third proportional to 621.84 and 846.98 is: 1,153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.84 : 846.98 = 846.98 : x
  2. Step 2: Convert to fraction form
    621.84/846.98 = 846.98/x
  3. Step 3: Cross multiply
    621.84x = 846.98 × 846.98
  4. Step 4: Simplify right side
    621.84x = 717,382.53
  5. Step 5: Solve for x
    x = 717,382.53/621.84
  6. Step 6: Final answer
    x = 1,153.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.