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Finding the Third Proportional to 297,029 and 425,647

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Solution

The third proportional to 297,029 and 425,647 is: 609,958.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,029 : 425,647 = 425,647 : x
  2. Step 2: Convert to fraction form
    297,029/425,647 = 425,647/x
  3. Step 3: Cross multiply
    297,029x = 425,647 × 425,647
  4. Step 4: Simplify right side
    297,029x = 181,175,368,609
  5. Step 5: Solve for x
    x = 181,175,368,609/297,029
  6. Step 6: Final answer
    x = 609,958.52

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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.