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Finding the Third Proportional to 128,099 and 204,641

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Solution

The third proportional to 128,099 and 204,641 is: 326,918.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,099 : 204,641 = 204,641 : x
  2. Step 2: Convert to fraction form
    128,099/204,641 = 204,641/x
  3. Step 3: Cross multiply
    128,099x = 204,641 × 204,641
  4. Step 4: Simplify right side
    128,099x = 41,877,938,881
  5. Step 5: Solve for x
    x = 41,877,938,881/128,099
  6. Step 6: Final answer
    x = 326,918.55

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.