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Finding the Third Proportional to 614.62 and 903.81

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Solution

The third proportional to 614.62 and 903.81 is: 1,329.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.62 : 903.81 = 903.81 : x
  2. Step 2: Convert to fraction form
    614.62/903.81 = 903.81/x
  3. Step 3: Cross multiply
    614.62x = 903.81 × 903.81
  4. Step 4: Simplify right side
    614.62x = 816,880.57
  5. Step 5: Solve for x
    x = 816,880.57/614.62
  6. Step 6: Final answer
    x = 1,329.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.