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Finding the Third Proportional to 180.98 and 390.16

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Solution

The third proportional to 180.98 and 390.16 is: 841.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.98 : 390.16 = 390.16 : x
  2. Step 2: Convert to fraction form
    180.98/390.16 = 390.16/x
  3. Step 3: Cross multiply
    180.98x = 390.16 × 390.16
  4. Step 4: Simplify right side
    180.98x = 152,228.00
  5. Step 5: Solve for x
    x = 152,228.00/180.98
  6. Step 6: Final answer
    x = 841.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.