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Finding the Third Proportional to 76,478 and 164,031

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Solution

The third proportional to 76,478 and 164,031 is: 351,815.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,478 : 164,031 = 164,031 : x
  2. Step 2: Convert to fraction form
    76,478/164,031 = 164,031/x
  3. Step 3: Cross multiply
    76,478x = 164,031 × 164,031
  4. Step 4: Simplify right side
    76,478x = 26,906,168,961
  5. Step 5: Solve for x
    x = 26,906,168,961/76,478
  6. Step 6: Final answer
    x = 351,815.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.