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Finding the Third Proportional to 51,315 and 106,074

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Solution

The third proportional to 51,315 and 106,074 is: 219,267.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,315 : 106,074 = 106,074 : x
  2. Step 2: Convert to fraction form
    51,315/106,074 = 106,074/x
  3. Step 3: Cross multiply
    51,315x = 106,074 × 106,074
  4. Step 4: Simplify right side
    51,315x = 11,251,693,476
  5. Step 5: Solve for x
    x = 11,251,693,476/51,315
  6. Step 6: Final answer
    x = 219,267.14

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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.