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Finding the Third Proportional to 202,878 and 435,654

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Solution

The third proportional to 202,878 and 435,654 is: 935,510.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,878 : 435,654 = 435,654 : x
  2. Step 2: Convert to fraction form
    202,878/435,654 = 435,654/x
  3. Step 3: Cross multiply
    202,878x = 435,654 × 435,654
  4. Step 4: Simplify right side
    202,878x = 189,794,407,716
  5. Step 5: Solve for x
    x = 189,794,407,716/202,878
  6. Step 6: Final answer
    x = 935,510.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.