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Finding the Third Proportional to 102,467 and 138,148

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Solution

The third proportional to 102,467 and 138,148 is: 186,253.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,467 : 138,148 = 138,148 : x
  2. Step 2: Convert to fraction form
    102,467/138,148 = 138,148/x
  3. Step 3: Cross multiply
    102,467x = 138,148 × 138,148
  4. Step 4: Simplify right side
    102,467x = 19,084,869,904
  5. Step 5: Solve for x
    x = 19,084,869,904/102,467
  6. Step 6: Final answer
    x = 186,253.82

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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.