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Finding the Third Proportional to 77,282 and 164,770

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Solution

The third proportional to 77,282 and 164,770 is: 351,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,282 : 164,770 = 164,770 : x
  2. Step 2: Convert to fraction form
    77,282/164,770 = 164,770/x
  3. Step 3: Cross multiply
    77,282x = 164,770 × 164,770
  4. Step 4: Simplify right side
    77,282x = 27,149,152,900
  5. Step 5: Solve for x
    x = 27,149,152,900/77,282
  6. Step 6: Final answer
    x = 351,299.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.