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Finding the Third Proportional to 425,888.72 and 864,291.94

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Solution

The third proportional to 425,888.72 and 864,291.94 is: 1,753,980.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,888.72 : 864,291.94 = 864,291.94 : x
  2. Step 2: Convert to fraction form
    425,888.72/864,291.94 = 864,291.94/x
  3. Step 3: Cross multiply
    425,888.72x = 864,291.94 × 864,291.94
  4. Step 4: Simplify right side
    425,888.72x = 747,000,553,227.50
  5. Step 5: Solve for x
    x = 747,000,553,227.50/425,888.72
  6. Step 6: Final answer
    x = 1,753,980.61

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.