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Finding the Third Proportional to 687,372 and 1,509,232

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Solution

The third proportional to 687,372 and 1,509,232 is: 3,313,753.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,372 : 1,509,232 = 1,509,232 : x
  2. Step 2: Convert to fraction form
    687,372/1,509,232 = 1,509,232/x
  3. Step 3: Cross multiply
    687,372x = 1,509,232 × 1,509,232
  4. Step 4: Simplify right side
    687,372x = 2,277,781,229,824
  5. Step 5: Solve for x
    x = 2,277,781,229,824/687,372
  6. Step 6: Final answer
    x = 3,313,753.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.