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Finding the Third Proportional to 311,981.63 and 445,818.94

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Solution

The third proportional to 311,981.63 and 445,818.94 is: 637,071.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,981.63 : 445,818.94 = 445,818.94 : x
  2. Step 2: Convert to fraction form
    311,981.63/445,818.94 = 445,818.94/x
  3. Step 3: Cross multiply
    311,981.63x = 445,818.94 × 445,818.94
  4. Step 4: Simplify right side
    311,981.63x = 198,754,525,033.63
  5. Step 5: Solve for x
    x = 198,754,525,033.63/311,981.63
  6. Step 6: Final answer
    x = 637,071.25

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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.