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Finding the Third Proportional to 70,457 and 156,105

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Solution

The third proportional to 70,457 and 156,105 is: 345,867.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,457 : 156,105 = 156,105 : x
  2. Step 2: Convert to fraction form
    70,457/156,105 = 156,105/x
  3. Step 3: Cross multiply
    70,457x = 156,105 × 156,105
  4. Step 4: Simplify right side
    70,457x = 24,368,771,025
  5. Step 5: Solve for x
    x = 24,368,771,025/70,457
  6. Step 6: Final answer
    x = 345,867.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.