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Finding the Third Proportional to 30,792 and 65,959

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Solution

The third proportional to 30,792 and 65,959 is: 141,289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,792 : 65,959 = 65,959 : x
  2. Step 2: Convert to fraction form
    30,792/65,959 = 65,959/x
  3. Step 3: Cross multiply
    30,792x = 65,959 × 65,959
  4. Step 4: Simplify right side
    30,792x = 4,350,589,681
  5. Step 5: Solve for x
    x = 4,350,589,681/30,792
  6. Step 6: Final answer
    x = 141,289.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.