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Finding the Third Proportional to 786.38 and 1,151.63

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Solution

The third proportional to 786.38 and 1,151.63 is: 1,686.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.38 : 1,151.63 = 1,151.63 : x
  2. Step 2: Convert to fraction form
    786.38/1,151.63 = 1,151.63/x
  3. Step 3: Cross multiply
    786.38x = 1,151.63 × 1,151.63
  4. Step 4: Simplify right side
    786.38x = 1,326,240.14
  5. Step 5: Solve for x
    x = 1,326,240.14/786.38
  6. Step 6: Final answer
    x = 1,686.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.