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Finding the Third Proportional to 80,346 and 153,401

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Solution

The third proportional to 80,346 and 153,401 is: 292,881.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,346 : 153,401 = 153,401 : x
  2. Step 2: Convert to fraction form
    80,346/153,401 = 153,401/x
  3. Step 3: Cross multiply
    80,346x = 153,401 × 153,401
  4. Step 4: Simplify right side
    80,346x = 23,531,866,801
  5. Step 5: Solve for x
    x = 23,531,866,801/80,346
  6. Step 6: Final answer
    x = 292,881.62

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.