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Finding the Third Proportional to 161,901 and 245,115

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Solution

The third proportional to 161,901 and 245,115 is: 371,099.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,901 : 245,115 = 245,115 : x
  2. Step 2: Convert to fraction form
    161,901/245,115 = 245,115/x
  3. Step 3: Cross multiply
    161,901x = 245,115 × 245,115
  4. Step 4: Simplify right side
    161,901x = 60,081,363,225
  5. Step 5: Solve for x
    x = 60,081,363,225/161,901
  6. Step 6: Final answer
    x = 371,099.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.