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Finding the Third Proportional to 138,223 and 301,457

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Solution

The third proportional to 138,223 and 301,457 is: 657,461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,223 : 301,457 = 301,457 : x
  2. Step 2: Convert to fraction form
    138,223/301,457 = 301,457/x
  3. Step 3: Cross multiply
    138,223x = 301,457 × 301,457
  4. Step 4: Simplify right side
    138,223x = 90,876,322,849
  5. Step 5: Solve for x
    x = 90,876,322,849/138,223
  6. Step 6: Final answer
    x = 657,461.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.