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Finding the Third Proportional to 261.13 and 556.06

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Solution

The third proportional to 261.13 and 556.06 is: 1,184.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.13 : 556.06 = 556.06 : x
  2. Step 2: Convert to fraction form
    261.13/556.06 = 556.06/x
  3. Step 3: Cross multiply
    261.13x = 556.06 × 556.06
  4. Step 4: Simplify right side
    261.13x = 309,205.50
  5. Step 5: Solve for x
    x = 309,205.50/261.13
  6. Step 6: Final answer
    x = 1,184.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.