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Finding the Third Proportional to 275,274 and 425,457

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Solution

The third proportional to 275,274 and 425,457 is: 657,576.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,274 : 425,457 = 425,457 : x
  2. Step 2: Convert to fraction form
    275,274/425,457 = 425,457/x
  3. Step 3: Cross multiply
    275,274x = 425,457 × 425,457
  4. Step 4: Simplify right side
    275,274x = 181,013,658,849
  5. Step 5: Solve for x
    x = 181,013,658,849/275,274
  6. Step 6: Final answer
    x = 657,576.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.