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Finding the Third Proportional to 142,857 and 338,445

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Solution

The third proportional to 142,857 and 338,445 is: 801,815.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,857 : 338,445 = 338,445 : x
  2. Step 2: Convert to fraction form
    142,857/338,445 = 338,445/x
  3. Step 3: Cross multiply
    142,857x = 338,445 × 338,445
  4. Step 4: Simplify right side
    142,857x = 114,545,018,025
  5. Step 5: Solve for x
    x = 114,545,018,025/142,857
  6. Step 6: Final answer
    x = 801,815.93

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.