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Finding the Third Proportional to 128,331 and 299,835

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Solution

The third proportional to 128,331 and 299,835 is: 700,540.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,331 : 299,835 = 299,835 : x
  2. Step 2: Convert to fraction form
    128,331/299,835 = 299,835/x
  3. Step 3: Cross multiply
    128,331x = 299,835 × 299,835
  4. Step 4: Simplify right side
    128,331x = 89,901,027,225
  5. Step 5: Solve for x
    x = 89,901,027,225/128,331
  6. Step 6: Final answer
    x = 700,540.22

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.