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Finding the Third Proportional to 75,905 and 120,641

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Solution

The third proportional to 75,905 and 120,641 is: 191,742.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,905 : 120,641 = 120,641 : x
  2. Step 2: Convert to fraction form
    75,905/120,641 = 120,641/x
  3. Step 3: Cross multiply
    75,905x = 120,641 × 120,641
  4. Step 4: Simplify right side
    75,905x = 14,554,250,881
  5. Step 5: Solve for x
    x = 14,554,250,881/75,905
  6. Step 6: Final answer
    x = 191,742.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.