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Finding the Third Proportional to 64,209 and 85,221

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Solution

The third proportional to 64,209 and 85,221 is: 113,109.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,209 : 85,221 = 85,221 : x
  2. Step 2: Convert to fraction form
    64,209/85,221 = 85,221/x
  3. Step 3: Cross multiply
    64,209x = 85,221 × 85,221
  4. Step 4: Simplify right side
    64,209x = 7,262,618,841
  5. Step 5: Solve for x
    x = 7,262,618,841/64,209
  6. Step 6: Final answer
    x = 113,109.05

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.