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Finding the Third Proportional to 70,878 and 106,637

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Solution

The third proportional to 70,878 and 106,637 is: 160,436.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,878 : 106,637 = 106,637 : x
  2. Step 2: Convert to fraction form
    70,878/106,637 = 106,637/x
  3. Step 3: Cross multiply
    70,878x = 106,637 × 106,637
  4. Step 4: Simplify right side
    70,878x = 11,371,449,769
  5. Step 5: Solve for x
    x = 11,371,449,769/70,878
  6. Step 6: Final answer
    x = 160,436.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.