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Finding the Third Proportional to 191,457 and 422,037

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Solution

The third proportional to 191,457 and 422,037 is: 930,314.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,457 : 422,037 = 422,037 : x
  2. Step 2: Convert to fraction form
    191,457/422,037 = 422,037/x
  3. Step 3: Cross multiply
    191,457x = 422,037 × 422,037
  4. Step 4: Simplify right side
    191,457x = 178,115,229,369
  5. Step 5: Solve for x
    x = 178,115,229,369/191,457
  6. Step 6: Final answer
    x = 930,314.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.