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Finding the Third Proportional to 834.13 and 1,308.47

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Solution

The third proportional to 834.13 and 1,308.47 is: 2,052.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.13 : 1,308.47 = 1,308.47 : x
  2. Step 2: Convert to fraction form
    834.13/1,308.47 = 1,308.47/x
  3. Step 3: Cross multiply
    834.13x = 1,308.47 × 1,308.47
  4. Step 4: Simplify right side
    834.13x = 1,712,090.47
  5. Step 5: Solve for x
    x = 1,712,090.47/834.13
  6. Step 6: Final answer
    x = 2,052.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.