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Finding the Third Proportional to 51,084 and 84,420

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Solution

The third proportional to 51,084 and 84,420 is: 139,510.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,084 : 84,420 = 84,420 : x
  2. Step 2: Convert to fraction form
    51,084/84,420 = 84,420/x
  3. Step 3: Cross multiply
    51,084x = 84,420 × 84,420
  4. Step 4: Simplify right side
    51,084x = 7,126,736,400
  5. Step 5: Solve for x
    x = 7,126,736,400/51,084
  6. Step 6: Final answer
    x = 139,510.15

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.