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Finding the Third Proportional to 119,258 and 161,391

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Solution

The third proportional to 119,258 and 161,391 is: 218,409.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,258 : 161,391 = 161,391 : x
  2. Step 2: Convert to fraction form
    119,258/161,391 = 161,391/x
  3. Step 3: Cross multiply
    119,258x = 161,391 × 161,391
  4. Step 4: Simplify right side
    119,258x = 26,047,054,881
  5. Step 5: Solve for x
    x = 26,047,054,881/119,258
  6. Step 6: Final answer
    x = 218,409.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.