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Finding the Third Proportional to 75,142 and 177,702

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Solution

The third proportional to 75,142 and 177,702 is: 420,244.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,142 : 177,702 = 177,702 : x
  2. Step 2: Convert to fraction form
    75,142/177,702 = 177,702/x
  3. Step 3: Cross multiply
    75,142x = 177,702 × 177,702
  4. Step 4: Simplify right side
    75,142x = 31,578,000,804
  5. Step 5: Solve for x
    x = 31,578,000,804/75,142
  6. Step 6: Final answer
    x = 420,244.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.