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Finding the Third Proportional to 197,720.16 and 409,465.97

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Solution

The third proportional to 197,720.16 and 409,465.97 is: 847,978.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,720.16 : 409,465.97 = 409,465.97 : x
  2. Step 2: Convert to fraction form
    197,720.16/409,465.97 = 409,465.97/x
  3. Step 3: Cross multiply
    197,720.16x = 409,465.97 × 409,465.97
  4. Step 4: Simplify right side
    197,720.16x = 167,662,379,564.38
  5. Step 5: Solve for x
    x = 167,662,379,564.38/197,720.16
  6. Step 6: Final answer
    x = 847,978.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.