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Finding the Third Proportional to 813.94 and 1,587.23

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Solution

The third proportional to 813.94 and 1,587.23 is: 3,095.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.94 : 1,587.23 = 1,587.23 : x
  2. Step 2: Convert to fraction form
    813.94/1,587.23 = 1,587.23/x
  3. Step 3: Cross multiply
    813.94x = 1,587.23 × 1,587.23
  4. Step 4: Simplify right side
    813.94x = 2,519,312.96
  5. Step 5: Solve for x
    x = 2,519,312.96/813.94
  6. Step 6: Final answer
    x = 3,095.22

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.