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Finding the Third Proportional to 261.25 and 384.25

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Solution

The third proportional to 261.25 and 384.25 is: 565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.25 : 384.25 = 384.25 : x
  2. Step 2: Convert to fraction form
    261.25/384.25 = 384.25/x
  3. Step 3: Cross multiply
    261.25x = 384.25 × 384.25
  4. Step 4: Simplify right side
    261.25x = 147,648.06
  5. Step 5: Solve for x
    x = 147,648.06/261.25
  6. Step 6: Final answer
    x = 565.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.