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Finding the Third Proportional to 39,408 and 63,216

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Solution

The third proportional to 39,408 and 63,216 is: 101,407.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,408 : 63,216 = 63,216 : x
  2. Step 2: Convert to fraction form
    39,408/63,216 = 63,216/x
  3. Step 3: Cross multiply
    39,408x = 63,216 × 63,216
  4. Step 4: Simplify right side
    39,408x = 3,996,262,656
  5. Step 5: Solve for x
    x = 3,996,262,656/39,408
  6. Step 6: Final answer
    x = 101,407.40

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.