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Finding the Third Proportional to 202,427 and 432,878

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Solution

The third proportional to 202,427 and 432,878 is: 925,683.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,427 : 432,878 = 432,878 : x
  2. Step 2: Convert to fraction form
    202,427/432,878 = 432,878/x
  3. Step 3: Cross multiply
    202,427x = 432,878 × 432,878
  4. Step 4: Simplify right side
    202,427x = 187,383,362,884
  5. Step 5: Solve for x
    x = 187,383,362,884/202,427
  6. Step 6: Final answer
    x = 925,683.64

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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.