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Finding the Third Proportional to 64,701 and 139,122

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Solution

The third proportional to 64,701 and 139,122 is: 299,144.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,701 : 139,122 = 139,122 : x
  2. Step 2: Convert to fraction form
    64,701/139,122 = 139,122/x
  3. Step 3: Cross multiply
    64,701x = 139,122 × 139,122
  4. Step 4: Simplify right side
    64,701x = 19,354,930,884
  5. Step 5: Solve for x
    x = 19,354,930,884/64,701
  6. Step 6: Final answer
    x = 299,144.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.