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Finding the Third Proportional to 207,636.75 and 409,124.25

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Solution

The third proportional to 207,636.75 and 409,124.25 is: 806,132.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,636.75 : 409,124.25 = 409,124.25 : x
  2. Step 2: Convert to fraction form
    207,636.75/409,124.25 = 409,124.25/x
  3. Step 3: Cross multiply
    207,636.75x = 409,124.25 × 409,124.25
  4. Step 4: Simplify right side
    207,636.75x = 167,382,651,938.06
  5. Step 5: Solve for x
    x = 167,382,651,938.06/207,636.75
  6. Step 6: Final answer
    x = 806,132.11

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.