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Finding the Third Proportional to 161,915 and 245,127

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Solution

The third proportional to 161,915 and 245,127 is: 371,103.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,915 : 245,127 = 245,127 : x
  2. Step 2: Convert to fraction form
    161,915/245,127 = 245,127/x
  3. Step 3: Cross multiply
    161,915x = 245,127 × 245,127
  4. Step 4: Simplify right side
    161,915x = 60,087,246,129
  5. Step 5: Solve for x
    x = 60,087,246,129/161,915
  6. Step 6: Final answer
    x = 371,103.64

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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.