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Finding the Third Proportional to 201,878 and 309,887

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Solution

The third proportional to 201,878 and 309,887 is: 475,683.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,878 : 309,887 = 309,887 : x
  2. Step 2: Convert to fraction form
    201,878/309,887 = 309,887/x
  3. Step 3: Cross multiply
    201,878x = 309,887 × 309,887
  4. Step 4: Simplify right side
    201,878x = 96,029,952,769
  5. Step 5: Solve for x
    x = 96,029,952,769/201,878
  6. Step 6: Final answer
    x = 475,683.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.