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Finding the Third Proportional to 609,620.50 and 905,599.50

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Solution

The third proportional to 609,620.50 and 905,599.50 is: 1,345,280.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,620.50 : 905,599.50 = 905,599.50 : x
  2. Step 2: Convert to fraction form
    609,620.50/905,599.50 = 905,599.50/x
  3. Step 3: Cross multiply
    609,620.50x = 905,599.50 × 905,599.50
  4. Step 4: Simplify right side
    609,620.50x = 820,110,454,400.25
  5. Step 5: Solve for x
    x = 820,110,454,400.25/609,620.50
  6. Step 6: Final answer
    x = 1,345,280.31

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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.