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Finding the Third Proportional to 311,852.53 and 673,476.40

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Solution

The third proportional to 311,852.53 and 673,476.40 is: 1,454,438.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,852.53 : 673,476.40 = 673,476.40 : x
  2. Step 2: Convert to fraction form
    311,852.53/673,476.40 = 673,476.40/x
  3. Step 3: Cross multiply
    311,852.53x = 673,476.40 × 673,476.40
  4. Step 4: Simplify right side
    311,852.53x = 453,570,459,252.35
  5. Step 5: Solve for x
    x = 453,570,459,252.35/311,852.53
  6. Step 6: Final answer
    x = 1,454,438.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.