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Finding the Third Proportional to 261.69 and 619.06

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Solution

The third proportional to 261.69 and 619.06 is: 1,464.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.69 : 619.06 = 619.06 : x
  2. Step 2: Convert to fraction form
    261.69/619.06 = 619.06/x
  3. Step 3: Cross multiply
    261.69x = 619.06 × 619.06
  4. Step 4: Simplify right side
    261.69x = 383,238.38
  5. Step 5: Solve for x
    x = 383,238.38/261.69
  6. Step 6: Final answer
    x = 1,464.49

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.