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Finding the Third Proportional to 209,859 and 449,661.50

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Solution

The third proportional to 209,859 and 449,661.50 is: 963,482.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,859 : 449,661.50 = 449,661.50 : x
  2. Step 2: Convert to fraction form
    209,859/449,661.50 = 449,661.50/x
  3. Step 3: Cross multiply
    209,859x = 449,661.50 × 449,661.50
  4. Step 4: Simplify right side
    209,859x = 202,195,464,582.25
  5. Step 5: Solve for x
    x = 202,195,464,582.25/209,859
  6. Step 6: Final answer
    x = 963,482.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.