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Finding the Third Proportional to 71,662 and 153,369

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Solution

The third proportional to 71,662 and 153,369 is: 328,236.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,662 : 153,369 = 153,369 : x
  2. Step 2: Convert to fraction form
    71,662/153,369 = 153,369/x
  3. Step 3: Cross multiply
    71,662x = 153,369 × 153,369
  4. Step 4: Simplify right side
    71,662x = 23,522,050,161
  5. Step 5: Solve for x
    x = 23,522,050,161/71,662
  6. Step 6: Final answer
    x = 328,236.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.