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Finding the Third Proportional to 128,849 and 204,985.50

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Solution

The third proportional to 128,849 and 204,985.50 is: 326,110.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,849 : 204,985.50 = 204,985.50 : x
  2. Step 2: Convert to fraction form
    128,849/204,985.50 = 204,985.50/x
  3. Step 3: Cross multiply
    128,849x = 204,985.50 × 204,985.50
  4. Step 4: Simplify right side
    128,849x = 42,019,055,210.25
  5. Step 5: Solve for x
    x = 42,019,055,210.25/128,849
  6. Step 6: Final answer
    x = 326,110.84

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.