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Finding the Third Proportional to 138,465 and 297,990

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Solution

The third proportional to 138,465 and 297,990 is: 641,303.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,465 : 297,990 = 297,990 : x
  2. Step 2: Convert to fraction form
    138,465/297,990 = 297,990/x
  3. Step 3: Cross multiply
    138,465x = 297,990 × 297,990
  4. Step 4: Simplify right side
    138,465x = 88,798,040,100
  5. Step 5: Solve for x
    x = 88,798,040,100/138,465
  6. Step 6: Final answer
    x = 641,303.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.