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Finding the Third Proportional to 305,436 and 631,824

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Solution

The third proportional to 305,436 and 631,824 is: 1,306,989.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,436 : 631,824 = 631,824 : x
  2. Step 2: Convert to fraction form
    305,436/631,824 = 631,824/x
  3. Step 3: Cross multiply
    305,436x = 631,824 × 631,824
  4. Step 4: Simplify right side
    305,436x = 399,201,566,976
  5. Step 5: Solve for x
    x = 399,201,566,976/305,436
  6. Step 6: Final answer
    x = 1,306,989.24

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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.