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Finding the Third Proportional to 80,712 and 159,354

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Solution

The third proportional to 80,712 and 159,354 is: 314,621.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,712 : 159,354 = 159,354 : x
  2. Step 2: Convert to fraction form
    80,712/159,354 = 159,354/x
  3. Step 3: Cross multiply
    80,712x = 159,354 × 159,354
  4. Step 4: Simplify right side
    80,712x = 25,393,697,316
  5. Step 5: Solve for x
    x = 25,393,697,316/80,712
  6. Step 6: Final answer
    x = 314,621.09

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.