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Finding the Third Proportional to 109,207 and 169,642

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Solution

The third proportional to 109,207 and 169,642 is: 263,521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,207 : 169,642 = 169,642 : x
  2. Step 2: Convert to fraction form
    109,207/169,642 = 169,642/x
  3. Step 3: Cross multiply
    109,207x = 169,642 × 169,642
  4. Step 4: Simplify right side
    109,207x = 28,778,408,164
  5. Step 5: Solve for x
    x = 28,778,408,164/109,207
  6. Step 6: Final answer
    x = 263,521.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.