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Finding the Third Proportional to 76,213 and 102,807

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Solution

The third proportional to 76,213 and 102,807 is: 138,680.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,213 : 102,807 = 102,807 : x
  2. Step 2: Convert to fraction form
    76,213/102,807 = 102,807/x
  3. Step 3: Cross multiply
    76,213x = 102,807 × 102,807
  4. Step 4: Simplify right side
    76,213x = 10,569,279,249
  5. Step 5: Solve for x
    x = 10,569,279,249/76,213
  6. Step 6: Final answer
    x = 138,680.79

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.