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Finding the Third Proportional to 116.02 and 247.08

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Solution

The third proportional to 116.02 and 247.08 is: 526.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.02 : 247.08 = 247.08 : x
  2. Step 2: Convert to fraction form
    116.02/247.08 = 247.08/x
  3. Step 3: Cross multiply
    116.02x = 247.08 × 247.08
  4. Step 4: Simplify right side
    116.02x = 61,047.60
  5. Step 5: Solve for x
    x = 61,047.60/116.02
  6. Step 6: Final answer
    x = 526.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.