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Finding the Third Proportional to 37,112 and 77,871

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Solution

The third proportional to 37,112 and 77,871 is: 163,394.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,112 : 77,871 = 77,871 : x
  2. Step 2: Convert to fraction form
    37,112/77,871 = 77,871/x
  3. Step 3: Cross multiply
    37,112x = 77,871 × 77,871
  4. Step 4: Simplify right side
    37,112x = 6,063,892,641
  5. Step 5: Solve for x
    x = 6,063,892,641/37,112
  6. Step 6: Final answer
    x = 163,394.39

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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.