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Finding the Third Proportional to 180.14 and 392.77

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Solution

The third proportional to 180.14 and 392.77 is: 856.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.14 : 392.77 = 392.77 : x
  2. Step 2: Convert to fraction form
    180.14/392.77 = 392.77/x
  3. Step 3: Cross multiply
    180.14x = 392.77 × 392.77
  4. Step 4: Simplify right side
    180.14x = 154,264.84
  5. Step 5: Solve for x
    x = 154,264.84/180.14
  6. Step 6: Final answer
    x = 856.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.