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Finding the Third Proportional to 77,877 and 163,530

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Solution

The third proportional to 77,877 and 163,530 is: 343,388.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,877 : 163,530 = 163,530 : x
  2. Step 2: Convert to fraction form
    77,877/163,530 = 163,530/x
  3. Step 3: Cross multiply
    77,877x = 163,530 × 163,530
  4. Step 4: Simplify right side
    77,877x = 26,742,060,900
  5. Step 5: Solve for x
    x = 26,742,060,900/77,877
  6. Step 6: Final answer
    x = 343,388.43

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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.