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Finding the Third Proportional to 138,001 and 202,457

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Solution

The third proportional to 138,001 and 202,457 is: 297,018.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,001 : 202,457 = 202,457 : x
  2. Step 2: Convert to fraction form
    138,001/202,457 = 202,457/x
  3. Step 3: Cross multiply
    138,001x = 202,457 × 202,457
  4. Step 4: Simplify right side
    138,001x = 40,988,836,849
  5. Step 5: Solve for x
    x = 40,988,836,849/138,001
  6. Step 6: Final answer
    x = 297,018.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.