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Finding the Third Proportional to 399,066 and 586,929

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Solution

The third proportional to 399,066 and 586,929 is: 863,229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,066 : 586,929 = 586,929 : x
  2. Step 2: Convert to fraction form
    399,066/586,929 = 586,929/x
  3. Step 3: Cross multiply
    399,066x = 586,929 × 586,929
  4. Step 4: Simplify right side
    399,066x = 344,485,651,041
  5. Step 5: Solve for x
    x = 344,485,651,041/399,066
  6. Step 6: Final answer
    x = 863,229.77

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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.