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Finding the Third Proportional to 305,446 and 631,844

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Solution

The third proportional to 305,446 and 631,844 is: 1,307,029.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,446 : 631,844 = 631,844 : x
  2. Step 2: Convert to fraction form
    305,446/631,844 = 631,844/x
  3. Step 3: Cross multiply
    305,446x = 631,844 × 631,844
  4. Step 4: Simplify right side
    305,446x = 399,226,840,336
  5. Step 5: Solve for x
    x = 399,226,840,336/305,446
  6. Step 6: Final answer
    x = 1,307,029.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.