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Finding the Third Proportional to 202,853 and 433,848

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Solution

The third proportional to 202,853 and 433,848 is: 927,884.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,853 : 433,848 = 433,848 : x
  2. Step 2: Convert to fraction form
    202,853/433,848 = 433,848/x
  3. Step 3: Cross multiply
    202,853x = 433,848 × 433,848
  4. Step 4: Simplify right side
    202,853x = 188,224,087,104
  5. Step 5: Solve for x
    x = 188,224,087,104/202,853
  6. Step 6: Final answer
    x = 927,884.17

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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.