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Finding the Third Proportional to 40,863 and 64,209

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Solution

The third proportional to 40,863 and 64,209 is: 100,893.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,863 : 64,209 = 64,209 : x
  2. Step 2: Convert to fraction form
    40,863/64,209 = 64,209/x
  3. Step 3: Cross multiply
    40,863x = 64,209 × 64,209
  4. Step 4: Simplify right side
    40,863x = 4,122,795,681
  5. Step 5: Solve for x
    x = 4,122,795,681/40,863
  6. Step 6: Final answer
    x = 100,893.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.