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Finding the Third Proportional to 785.13 and 1,242.94

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Solution

The third proportional to 785.13 and 1,242.94 is: 1,967.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.13 : 1,242.94 = 1,242.94 : x
  2. Step 2: Convert to fraction form
    785.13/1,242.94 = 1,242.94/x
  3. Step 3: Cross multiply
    785.13x = 1,242.94 × 1,242.94
  4. Step 4: Simplify right side
    785.13x = 1,544,893.63
  5. Step 5: Solve for x
    x = 1,544,893.63/785.13
  6. Step 6: Final answer
    x = 1,967.70

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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.