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Finding the Third Proportional to 138,502 and 297,693

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Solution

The third proportional to 138,502 and 297,693 is: 639,854.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,502 : 297,693 = 297,693 : x
  2. Step 2: Convert to fraction form
    138,502/297,693 = 297,693/x
  3. Step 3: Cross multiply
    138,502x = 297,693 × 297,693
  4. Step 4: Simplify right side
    138,502x = 88,621,122,249
  5. Step 5: Solve for x
    x = 88,621,122,249/138,502
  6. Step 6: Final answer
    x = 639,854.46

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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.