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Finding the Third Proportional to 138,069 and 297,884

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Solution

The third proportional to 138,069 and 297,884 is: 642,685.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,069 : 297,884 = 297,884 : x
  2. Step 2: Convert to fraction form
    138,069/297,884 = 297,884/x
  3. Step 3: Cross multiply
    138,069x = 297,884 × 297,884
  4. Step 4: Simplify right side
    138,069x = 88,734,877,456
  5. Step 5: Solve for x
    x = 88,734,877,456/138,069
  6. Step 6: Final answer
    x = 642,685.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.