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Finding the Third Proportional to 65,364 and 138,408

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Solution

The third proportional to 65,364 and 138,408 is: 293,078.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,364 : 138,408 = 138,408 : x
  2. Step 2: Convert to fraction form
    65,364/138,408 = 138,408/x
  3. Step 3: Cross multiply
    65,364x = 138,408 × 138,408
  4. Step 4: Simplify right side
    65,364x = 19,156,774,464
  5. Step 5: Solve for x
    x = 19,156,774,464/65,364
  6. Step 6: Final answer
    x = 293,078.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.