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Finding the Third Proportional to 261.09 and 573.47

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Solution

The third proportional to 261.09 and 573.47 is: 1,259.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.09 : 573.47 = 573.47 : x
  2. Step 2: Convert to fraction form
    261.09/573.47 = 573.47/x
  3. Step 3: Cross multiply
    261.09x = 573.47 × 573.47
  4. Step 4: Simplify right side
    261.09x = 328,866.41
  5. Step 5: Solve for x
    x = 328,866.41/261.09
  6. Step 6: Final answer
    x = 1,259.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.