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Finding the Third Proportional to 399,081 and 586,950

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Solution

The third proportional to 399,081 and 586,950 is: 863,259.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,081 : 586,950 = 586,950 : x
  2. Step 2: Convert to fraction form
    399,081/586,950 = 586,950/x
  3. Step 3: Cross multiply
    399,081x = 586,950 × 586,950
  4. Step 4: Simplify right side
    399,081x = 344,510,302,500
  5. Step 5: Solve for x
    x = 344,510,302,500/399,081
  6. Step 6: Final answer
    x = 863,259.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.