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Finding the Third Proportional to 64,218 and 137,338

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Solution

The third proportional to 64,218 and 137,338 is: 293,714.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,218 : 137,338 = 137,338 : x
  2. Step 2: Convert to fraction form
    64,218/137,338 = 137,338/x
  3. Step 3: Cross multiply
    64,218x = 137,338 × 137,338
  4. Step 4: Simplify right side
    64,218x = 18,861,726,244
  5. Step 5: Solve for x
    x = 18,861,726,244/64,218
  6. Step 6: Final answer
    x = 293,714.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.