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Finding the Third Proportional to 80,209 and 162,365

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Solution

The third proportional to 80,209 and 162,365 is: 328,671.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,209 : 162,365 = 162,365 : x
  2. Step 2: Convert to fraction form
    80,209/162,365 = 162,365/x
  3. Step 3: Cross multiply
    80,209x = 162,365 × 162,365
  4. Step 4: Simplify right side
    80,209x = 26,362,393,225
  5. Step 5: Solve for x
    x = 26,362,393,225/80,209
  6. Step 6: Final answer
    x = 328,671.26

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.