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Finding the Third Proportional to 1,309.92 and 2,069.93

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Solution

The third proportional to 1,309.92 and 2,069.93 is: 3,270.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.92 : 2,069.93 = 2,069.93 : x
  2. Step 2: Convert to fraction form
    1,309.92/2,069.93 = 2,069.93/x
  3. Step 3: Cross multiply
    1,309.92x = 2,069.93 × 2,069.93
  4. Step 4: Simplify right side
    1,309.92x = 4,284,608.91
  5. Step 5: Solve for x
    x = 4,284,608.91/1,309.92
  6. Step 6: Final answer
    x = 3,270.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.