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Finding the Third Proportional to 305,454 and 631,856

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Solution

The third proportional to 305,454 and 631,856 is: 1,307,044.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,454 : 631,856 = 631,856 : x
  2. Step 2: Convert to fraction form
    305,454/631,856 = 631,856/x
  3. Step 3: Cross multiply
    305,454x = 631,856 × 631,856
  4. Step 4: Simplify right side
    305,454x = 399,242,004,736
  5. Step 5: Solve for x
    x = 399,242,004,736/305,454
  6. Step 6: Final answer
    x = 1,307,044.61

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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.