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Finding the Third Proportional to 78,062 and 164,282

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Solution

The third proportional to 78,062 and 164,282 is: 345,732.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,062 : 164,282 = 164,282 : x
  2. Step 2: Convert to fraction form
    78,062/164,282 = 164,282/x
  3. Step 3: Cross multiply
    78,062x = 164,282 × 164,282
  4. Step 4: Simplify right side
    78,062x = 26,988,575,524
  5. Step 5: Solve for x
    x = 26,988,575,524/78,062
  6. Step 6: Final answer
    x = 345,732.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.