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Finding the Third Proportional to 74,461 and 145,161

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Solution

The third proportional to 74,461 and 145,161 is: 282,989.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,461 : 145,161 = 145,161 : x
  2. Step 2: Convert to fraction form
    74,461/145,161 = 145,161/x
  3. Step 3: Cross multiply
    74,461x = 145,161 × 145,161
  4. Step 4: Simplify right side
    74,461x = 21,071,715,921
  5. Step 5: Solve for x
    x = 21,071,715,921/74,461
  6. Step 6: Final answer
    x = 282,989.97

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.