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Finding the Third Proportional to 77,288 and 162,877

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Solution

The third proportional to 77,288 and 162,877 is: 343,247.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,288 : 162,877 = 162,877 : x
  2. Step 2: Convert to fraction form
    77,288/162,877 = 162,877/x
  3. Step 3: Cross multiply
    77,288x = 162,877 × 162,877
  4. Step 4: Simplify right side
    77,288x = 26,528,917,129
  5. Step 5: Solve for x
    x = 26,528,917,129/77,288
  6. Step 6: Final answer
    x = 343,247.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.