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Finding the Third Proportional to 34,209 and 54,645

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Solution

The third proportional to 34,209 and 54,645 is: 87,289.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,209 : 54,645 = 54,645 : x
  2. Step 2: Convert to fraction form
    34,209/54,645 = 54,645/x
  3. Step 3: Cross multiply
    34,209x = 54,645 × 54,645
  4. Step 4: Simplify right side
    34,209x = 2,986,076,025
  5. Step 5: Solve for x
    x = 2,986,076,025/34,209
  6. Step 6: Final answer
    x = 87,289.19

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.