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Finding the Third Proportional to 138,133 and 297,520

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Solution

The third proportional to 138,133 and 297,520 is: 640,818.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,133 : 297,520 = 297,520 : x
  2. Step 2: Convert to fraction form
    138,133/297,520 = 297,520/x
  3. Step 3: Cross multiply
    138,133x = 297,520 × 297,520
  4. Step 4: Simplify right side
    138,133x = 88,518,150,400
  5. Step 5: Solve for x
    x = 88,518,150,400/138,133
  6. Step 6: Final answer
    x = 640,818.27

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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.