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Finding the Third Proportional to 207.47 and 302.16

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Solution

The third proportional to 207.47 and 302.16 is: 440.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.47 : 302.16 = 302.16 : x
  2. Step 2: Convert to fraction form
    207.47/302.16 = 302.16/x
  3. Step 3: Cross multiply
    207.47x = 302.16 × 302.16
  4. Step 4: Simplify right side
    207.47x = 91,298.40
  5. Step 5: Solve for x
    x = 91,298.40/207.47
  6. Step 6: Final answer
    x = 440.06

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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.