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Finding the Third Proportional to 109,209 and 169,645

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Solution

The third proportional to 109,209 and 169,645 is: 263,526.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,209 : 169,645 = 169,645 : x
  2. Step 2: Convert to fraction form
    109,209/169,645 = 169,645/x
  3. Step 3: Cross multiply
    109,209x = 169,645 × 169,645
  4. Step 4: Simplify right side
    109,209x = 28,779,426,025
  5. Step 5: Solve for x
    x = 28,779,426,025/109,209
  6. Step 6: Final answer
    x = 263,526.14

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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.