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Finding the Third Proportional to 198,411.19 and 299,405.81

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Solution

The third proportional to 198,411.19 and 299,405.81 is: 451,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,411.19 : 299,405.81 = 299,405.81 : x
  2. Step 2: Convert to fraction form
    198,411.19/299,405.81 = 299,405.81/x
  3. Step 3: Cross multiply
    198,411.19x = 299,405.81 × 299,405.81
  4. Step 4: Simplify right side
    198,411.19x = 89,643,840,558.79
  5. Step 5: Solve for x
    x = 89,643,840,558.79/198,411.19
  6. Step 6: Final answer
    x = 451,808.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.