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Finding the Third Proportional to 77,411 and 158,102

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Solution

The third proportional to 77,411 and 158,102 is: 322,902.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,411 : 158,102 = 158,102 : x
  2. Step 2: Convert to fraction form
    77,411/158,102 = 158,102/x
  3. Step 3: Cross multiply
    77,411x = 158,102 × 158,102
  4. Step 4: Simplify right side
    77,411x = 24,996,242,404
  5. Step 5: Solve for x
    x = 24,996,242,404/77,411
  6. Step 6: Final answer
    x = 322,902.98

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.