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Finding the Third Proportional to 199,847.81 and 428,185.13

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Solution

The third proportional to 199,847.81 and 428,185.13 is: 917,410.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,847.81 : 428,185.13 = 428,185.13 : x
  2. Step 2: Convert to fraction form
    199,847.81/428,185.13 = 428,185.13/x
  3. Step 3: Cross multiply
    199,847.81x = 428,185.13 × 428,185.13
  4. Step 4: Simplify right side
    199,847.81x = 183,342,501,271.27
  5. Step 5: Solve for x
    x = 183,342,501,271.27/199,847.81
  6. Step 6: Final answer
    x = 917,410.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.