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Finding the Third Proportional to 64,519 and 139,972

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Solution

The third proportional to 64,519 and 139,972 is: 303,664.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,519 : 139,972 = 139,972 : x
  2. Step 2: Convert to fraction form
    64,519/139,972 = 139,972/x
  3. Step 3: Cross multiply
    64,519x = 139,972 × 139,972
  4. Step 4: Simplify right side
    64,519x = 19,592,160,784
  5. Step 5: Solve for x
    x = 19,592,160,784/64,519
  6. Step 6: Final answer
    x = 303,664.98

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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.