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Finding the Third Proportional to 287.06 and 542.06

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Solution

The third proportional to 287.06 and 542.06 is: 1,023.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.06 : 542.06 = 542.06 : x
  2. Step 2: Convert to fraction form
    287.06/542.06 = 542.06/x
  3. Step 3: Cross multiply
    287.06x = 542.06 × 542.06
  4. Step 4: Simplify right side
    287.06x = 293,831.75
  5. Step 5: Solve for x
    x = 293,831.75/287.06
  6. Step 6: Final answer
    x = 1,023.58

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.