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Finding the Third Proportional to 811.69 and 1,590.47

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Solution

The third proportional to 811.69 and 1,590.47 is: 3,116.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.69 : 1,590.47 = 1,590.47 : x
  2. Step 2: Convert to fraction form
    811.69/1,590.47 = 1,590.47/x
  3. Step 3: Cross multiply
    811.69x = 1,590.47 × 1,590.47
  4. Step 4: Simplify right side
    811.69x = 2,529,590.84
  5. Step 5: Solve for x
    x = 2,529,590.84/811.69
  6. Step 6: Final answer
    x = 3,116.46

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.