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Finding the Third Proportional to 169,387 and 334,520

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Solution

The third proportional to 169,387 and 334,520 is: 660,638.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,387 : 334,520 = 334,520 : x
  2. Step 2: Convert to fraction form
    169,387/334,520 = 334,520/x
  3. Step 3: Cross multiply
    169,387x = 334,520 × 334,520
  4. Step 4: Simplify right side
    169,387x = 111,903,630,400
  5. Step 5: Solve for x
    x = 111,903,630,400/169,387
  6. Step 6: Final answer
    x = 660,638.84

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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.