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Finding the Third Proportional to 846.56 and 1,278.94

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Solution

The third proportional to 846.56 and 1,278.94 is: 1,932.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.56 : 1,278.94 = 1,278.94 : x
  2. Step 2: Convert to fraction form
    846.56/1,278.94 = 1,278.94/x
  3. Step 3: Cross multiply
    846.56x = 1,278.94 × 1,278.94
  4. Step 4: Simplify right side
    846.56x = 1,635,681.13
  5. Step 5: Solve for x
    x = 1,635,681.13/846.56
  6. Step 6: Final answer
    x = 1,932.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.