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Finding the Third Proportional to 138,129.05 and 297,512.16

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Solution

The third proportional to 138,129.05 and 297,512.16 is: 640,802.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,129.05 : 297,512.16 = 297,512.16 : x
  2. Step 2: Convert to fraction form
    138,129.05/297,512.16 = 297,512.16/x
  3. Step 3: Cross multiply
    138,129.05x = 297,512.16 × 297,512.16
  4. Step 4: Simplify right side
    138,129.05x = 88,513,483,116.52
  5. Step 5: Solve for x
    x = 88,513,483,116.52/138,129.05
  6. Step 6: Final answer
    x = 640,802.82

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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.