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Finding the Third Proportional to 261.38 and 365.63

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Solution

The third proportional to 261.38 and 365.63 is: 511.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.38 : 365.63 = 365.63 : x
  2. Step 2: Convert to fraction form
    261.38/365.63 = 365.63/x
  3. Step 3: Cross multiply
    261.38x = 365.63 × 365.63
  4. Step 4: Simplify right side
    261.38x = 133,681.64
  5. Step 5: Solve for x
    x = 133,681.64/261.38
  6. Step 6: Final answer
    x = 511.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.