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Finding the Third Proportional to 609,721.88 and 905,738.63

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Solution

The third proportional to 609,721.88 and 905,738.63 is: 1,345,469.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,721.88 : 905,738.63 = 905,738.63 : x
  2. Step 2: Convert to fraction form
    609,721.88/905,738.63 = 905,738.63/x
  3. Step 3: Cross multiply
    609,721.88x = 905,738.63 × 905,738.63
  4. Step 4: Simplify right side
    609,721.88x = 820,362,456,816.89
  5. Step 5: Solve for x
    x = 820,362,456,816.89/609,721.88
  6. Step 6: Final answer
    x = 1,345,469.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.