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Finding the Third Proportional to 630,200.25 and 905,934.38

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Solution

The third proportional to 630,200.25 and 905,934.38 is: 1,302,311.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,200.25 : 905,934.38 = 905,934.38 : x
  2. Step 2: Convert to fraction form
    630,200.25/905,934.38 = 905,934.38/x
  3. Step 3: Cross multiply
    630,200.25x = 905,934.38 × 905,934.38
  4. Step 4: Simplify right side
    630,200.25x = 820,717,091,806.64
  5. Step 5: Solve for x
    x = 820,717,091,806.64/630,200.25
  6. Step 6: Final answer
    x = 1,302,311.59

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.