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Finding the Third Proportional to 399,503 and 858,298.25

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Solution

The third proportional to 399,503 and 858,298.25 is: 1,843,980.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,503 : 858,298.25 = 858,298.25 : x
  2. Step 2: Convert to fraction form
    399,503/858,298.25 = 858,298.25/x
  3. Step 3: Cross multiply
    399,503x = 858,298.25 × 858,298.25
  4. Step 4: Simplify right side
    399,503x = 736,675,885,953.06
  5. Step 5: Solve for x
    x = 736,675,885,953.06/399,503
  6. Step 6: Final answer
    x = 1,843,980.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.