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Finding the Third Proportional to 263,970 and 425,008

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Solution

The third proportional to 263,970 and 425,008 is: 684,289.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,970 : 425,008 = 425,008 : x
  2. Step 2: Convert to fraction form
    263,970/425,008 = 425,008/x
  3. Step 3: Cross multiply
    263,970x = 425,008 × 425,008
  4. Step 4: Simplify right side
    263,970x = 180,631,800,064
  5. Step 5: Solve for x
    x = 180,631,800,064/263,970
  6. Step 6: Final answer
    x = 684,289.12

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.