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Finding the Third Proportional to 64,100 and 139,257

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Solution

The third proportional to 64,100 and 139,257 is: 302,535.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,100 : 139,257 = 139,257 : x
  2. Step 2: Convert to fraction form
    64,100/139,257 = 139,257/x
  3. Step 3: Cross multiply
    64,100x = 139,257 × 139,257
  4. Step 4: Simplify right side
    64,100x = 19,392,512,049
  5. Step 5: Solve for x
    x = 19,392,512,049/64,100
  6. Step 6: Final answer
    x = 302,535.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.