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Finding the Third Proportional to 68,420 and 100,263

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Solution

The third proportional to 68,420 and 100,263 is: 146,925.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,420 : 100,263 = 100,263 : x
  2. Step 2: Convert to fraction form
    68,420/100,263 = 100,263/x
  3. Step 3: Cross multiply
    68,420x = 100,263 × 100,263
  4. Step 4: Simplify right side
    68,420x = 10,052,669,169
  5. Step 5: Solve for x
    x = 10,052,669,169/68,420
  6. Step 6: Final answer
    x = 146,925.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.