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Finding the Third Proportional to 623.74 and 1,365.82

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Solution

The third proportional to 623.74 and 1,365.82 is: 2,990.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.74 : 1,365.82 = 1,365.82 : x
  2. Step 2: Convert to fraction form
    623.74/1,365.82 = 1,365.82/x
  3. Step 3: Cross multiply
    623.74x = 1,365.82 × 1,365.82
  4. Step 4: Simplify right side
    623.74x = 1,865,465.13
  5. Step 5: Solve for x
    x = 1,865,465.13/623.74
  6. Step 6: Final answer
    x = 2,990.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.