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Finding the Third Proportional to 785.63 and 1,155.38

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Solution

The third proportional to 785.63 and 1,155.38 is: 1,699.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.63 : 1,155.38 = 1,155.38 : x
  2. Step 2: Convert to fraction form
    785.63/1,155.38 = 1,155.38/x
  3. Step 3: Cross multiply
    785.63x = 1,155.38 × 1,155.38
  4. Step 4: Simplify right side
    785.63x = 1,334,891.39
  5. Step 5: Solve for x
    x = 1,334,891.39/785.63
  6. Step 6: Final answer
    x = 1,699.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.