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Finding the Third Proportional to 399,111 and 631,863

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Solution

The third proportional to 399,111 and 631,863 is: 1,000,350.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,111 : 631,863 = 631,863 : x
  2. Step 2: Convert to fraction form
    399,111/631,863 = 631,863/x
  3. Step 3: Cross multiply
    399,111x = 631,863 × 631,863
  4. Step 4: Simplify right side
    399,111x = 399,250,850,769
  5. Step 5: Solve for x
    x = 399,250,850,769/399,111
  6. Step 6: Final answer
    x = 1,000,350.41

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.