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Finding the Third Proportional to 36,638 and 78,457

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Solution

The third proportional to 36,638 and 78,457 is: 168,008.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,638 : 78,457 = 78,457 : x
  2. Step 2: Convert to fraction form
    36,638/78,457 = 78,457/x
  3. Step 3: Cross multiply
    36,638x = 78,457 × 78,457
  4. Step 4: Simplify right side
    36,638x = 6,155,500,849
  5. Step 5: Solve for x
    x = 6,155,500,849/36,638
  6. Step 6: Final answer
    x = 168,008.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.