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Finding the Third Proportional to 128,604 and 282,109.50

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Solution

The third proportional to 128,604 and 282,109.50 is: 618,843.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,604 : 282,109.50 = 282,109.50 : x
  2. Step 2: Convert to fraction form
    128,604/282,109.50 = 282,109.50/x
  3. Step 3: Cross multiply
    128,604x = 282,109.50 × 282,109.50
  4. Step 4: Simplify right side
    128,604x = 79,585,769,990.25
  5. Step 5: Solve for x
    x = 79,585,769,990.25/128,604
  6. Step 6: Final answer
    x = 618,843.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.