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Finding the Third Proportional to 64,612 and 139,408

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Solution

The third proportional to 64,612 and 139,408 is: 300,789.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,612 : 139,408 = 139,408 : x
  2. Step 2: Convert to fraction form
    64,612/139,408 = 139,408/x
  3. Step 3: Cross multiply
    64,612x = 139,408 × 139,408
  4. Step 4: Simplify right side
    64,612x = 19,434,590,464
  5. Step 5: Solve for x
    x = 19,434,590,464/64,612
  6. Step 6: Final answer
    x = 300,789.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.