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Finding the Third Proportional to 605.38 and 931.63

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Solution

The third proportional to 605.38 and 931.63 is: 1,433.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.38 : 931.63 = 931.63 : x
  2. Step 2: Convert to fraction form
    605.38/931.63 = 931.63/x
  3. Step 3: Cross multiply
    605.38x = 931.63 × 931.63
  4. Step 4: Simplify right side
    605.38x = 867,925.14
  5. Step 5: Solve for x
    x = 867,925.14/605.38
  6. Step 6: Final answer
    x = 1,433.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.