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Finding the Third Proportional to 64,645 and 137,115

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Solution

The third proportional to 64,645 and 137,115 is: 290,827.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,645 : 137,115 = 137,115 : x
  2. Step 2: Convert to fraction form
    64,645/137,115 = 137,115/x
  3. Step 3: Cross multiply
    64,645x = 137,115 × 137,115
  4. Step 4: Simplify right side
    64,645x = 18,800,523,225
  5. Step 5: Solve for x
    x = 18,800,523,225/64,645
  6. Step 6: Final answer
    x = 290,827.18

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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.