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Finding the Third Proportional to 76,410 and 103,194

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Solution

The third proportional to 76,410 and 103,194 is: 139,366.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,410 : 103,194 = 103,194 : x
  2. Step 2: Convert to fraction form
    76,410/103,194 = 103,194/x
  3. Step 3: Cross multiply
    76,410x = 103,194 × 103,194
  4. Step 4: Simplify right side
    76,410x = 10,649,001,636
  5. Step 5: Solve for x
    x = 10,649,001,636/76,410
  6. Step 6: Final answer
    x = 139,366.60

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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.