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Finding the Third Proportional to 420,234 and 630,781

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Solution

The third proportional to 420,234 and 630,781 is: 946,816.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,234 : 630,781 = 630,781 : x
  2. Step 2: Convert to fraction form
    420,234/630,781 = 630,781/x
  3. Step 3: Cross multiply
    420,234x = 630,781 × 630,781
  4. Step 4: Simplify right side
    420,234x = 397,884,669,961
  5. Step 5: Solve for x
    x = 397,884,669,961/420,234
  6. Step 6: Final answer
    x = 946,816.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.