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Finding the Third Proportional to 202,873 and 433,888

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Solution

The third proportional to 202,873 and 433,888 is: 927,963.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,873 : 433,888 = 433,888 : x
  2. Step 2: Convert to fraction form
    202,873/433,888 = 433,888/x
  3. Step 3: Cross multiply
    202,873x = 433,888 × 433,888
  4. Step 4: Simplify right side
    202,873x = 188,258,796,544
  5. Step 5: Solve for x
    x = 188,258,796,544/202,873
  6. Step 6: Final answer
    x = 927,963.78

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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.