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Finding the Third Proportional to 64,903 and 139,203

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Solution

The third proportional to 64,903 and 139,203 is: 298,560.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,903 : 139,203 = 139,203 : x
  2. Step 2: Convert to fraction form
    64,903/139,203 = 139,203/x
  3. Step 3: Cross multiply
    64,903x = 139,203 × 139,203
  4. Step 4: Simplify right side
    64,903x = 19,377,475,209
  5. Step 5: Solve for x
    x = 19,377,475,209/64,903
  6. Step 6: Final answer
    x = 298,560.55

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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.