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Finding the Third Proportional to 64,408 and 141,118

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Solution

The third proportional to 64,408 and 141,118 is: 309,189.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,408 : 141,118 = 141,118 : x
  2. Step 2: Convert to fraction form
    64,408/141,118 = 141,118/x
  3. Step 3: Cross multiply
    64,408x = 141,118 × 141,118
  4. Step 4: Simplify right side
    64,408x = 19,914,289,924
  5. Step 5: Solve for x
    x = 19,914,289,924/64,408
  6. Step 6: Final answer
    x = 309,189.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.