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Finding the Third Proportional to 145.26 and 207.06

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Solution

The third proportional to 145.26 and 207.06 is: 295.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.26 : 207.06 = 207.06 : x
  2. Step 2: Convert to fraction form
    145.26/207.06 = 207.06/x
  3. Step 3: Cross multiply
    145.26x = 207.06 × 207.06
  4. Step 4: Simplify right side
    145.26x = 42,874.47
  5. Step 5: Solve for x
    x = 42,874.47/145.26
  6. Step 6: Final answer
    x = 295.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.