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Finding the Third Proportional to 202,854 and 432,846

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Solution

The third proportional to 202,854 and 432,846 is: 923,598.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,854 : 432,846 = 432,846 : x
  2. Step 2: Convert to fraction form
    202,854/432,846 = 432,846/x
  3. Step 3: Cross multiply
    202,854x = 432,846 × 432,846
  4. Step 4: Simplify right side
    202,854x = 187,355,659,716
  5. Step 5: Solve for x
    x = 187,355,659,716/202,854
  6. Step 6: Final answer
    x = 923,598.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.