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Finding the Third Proportional to 297,959 and 425,638

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Solution

The third proportional to 297,959 and 425,638 is: 608,028.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,959 : 425,638 = 425,638 : x
  2. Step 2: Convert to fraction form
    297,959/425,638 = 425,638/x
  3. Step 3: Cross multiply
    297,959x = 425,638 × 425,638
  4. Step 4: Simplify right side
    297,959x = 181,167,707,044
  5. Step 5: Solve for x
    x = 181,167,707,044/297,959
  6. Step 6: Final answer
    x = 608,028.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.