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Finding the Third Proportional to 64,533 and 138,408.50

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Solution

The third proportional to 64,533 and 138,408.50 is: 296,854.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,533 : 138,408.50 = 138,408.50 : x
  2. Step 2: Convert to fraction form
    64,533/138,408.50 = 138,408.50/x
  3. Step 3: Cross multiply
    64,533x = 138,408.50 × 138,408.50
  4. Step 4: Simplify right side
    64,533x = 19,156,912,872.25
  5. Step 5: Solve for x
    x = 19,156,912,872.25/64,533
  6. Step 6: Final answer
    x = 296,854.52

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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.