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Finding the Third Proportional to 138,175 and 297,538

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Solution

The third proportional to 138,175 and 297,538 is: 640,701.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,175 : 297,538 = 297,538 : x
  2. Step 2: Convert to fraction form
    138,175/297,538 = 297,538/x
  3. Step 3: Cross multiply
    138,175x = 297,538 × 297,538
  4. Step 4: Simplify right side
    138,175x = 88,528,861,444
  5. Step 5: Solve for x
    x = 88,528,861,444/138,175
  6. Step 6: Final answer
    x = 640,701.01

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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.