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Finding the Third Proportional to 420,234.75 and 630,784.13

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Solution

The third proportional to 420,234.75 and 630,784.13 is: 946,824.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,234.75 : 630,784.13 = 630,784.13 : x
  2. Step 2: Convert to fraction form
    420,234.75/630,784.13 = 630,784.13/x
  3. Step 3: Cross multiply
    420,234.75x = 630,784.13 × 630,784.13
  4. Step 4: Simplify right side
    420,234.75x = 397,888,612,352.02
  5. Step 5: Solve for x
    x = 397,888,612,352.02/420,234.75
  6. Step 6: Final answer
    x = 946,824.63

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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.