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Finding the Third Proportional to 785.81 and 1,648.13

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Solution

The third proportional to 785.81 and 1,648.13 is: 3,456.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.81 : 1,648.13 = 1,648.13 : x
  2. Step 2: Convert to fraction form
    785.81/1,648.13 = 1,648.13/x
  3. Step 3: Cross multiply
    785.81x = 1,648.13 × 1,648.13
  4. Step 4: Simplify right side
    785.81x = 2,716,316.02
  5. Step 5: Solve for x
    x = 2,716,316.02/785.81
  6. Step 6: Final answer
    x = 3,456.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.