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Finding the Third Proportional to 261.04 and 539.16

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Solution

The third proportional to 261.04 and 539.16 is: 1,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.04 : 539.16 = 539.16 : x
  2. Step 2: Convert to fraction form
    261.04/539.16 = 539.16/x
  3. Step 3: Cross multiply
    261.04x = 539.16 × 539.16
  4. Step 4: Simplify right side
    261.04x = 290,689.46
  5. Step 5: Solve for x
    x = 290,689.46/261.04
  6. Step 6: Final answer
    x = 1,113.60

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.