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Finding the Third Proportional to 169,259 and 371,731

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Solution

The third proportional to 169,259 and 371,731 is: 816,405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,259 : 371,731 = 371,731 : x
  2. Step 2: Convert to fraction form
    169,259/371,731 = 371,731/x
  3. Step 3: Cross multiply
    169,259x = 371,731 × 371,731
  4. Step 4: Simplify right side
    169,259x = 138,183,936,361
  5. Step 5: Solve for x
    x = 138,183,936,361/169,259
  6. Step 6: Final answer
    x = 816,405.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.