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Finding the Third Proportional to 311,541 and 445,509.75

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Solution

The third proportional to 311,541 and 445,509.75 is: 637,087.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,541 : 445,509.75 = 445,509.75 : x
  2. Step 2: Convert to fraction form
    311,541/445,509.75 = 445,509.75/x
  3. Step 3: Cross multiply
    311,541x = 445,509.75 × 445,509.75
  4. Step 4: Simplify right side
    311,541x = 198,478,937,345.06
  5. Step 5: Solve for x
    x = 198,478,937,345.06/311,541
  6. Step 6: Final answer
    x = 637,087.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.