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Finding the Third Proportional to 383,339.50 and 840,491

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Solution

The third proportional to 383,339.50 and 840,491 is: 1,842,818.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,339.50 : 840,491 = 840,491 : x
  2. Step 2: Convert to fraction form
    383,339.50/840,491 = 840,491/x
  3. Step 3: Cross multiply
    383,339.50x = 840,491 × 840,491
  4. Step 4: Simplify right side
    383,339.50x = 706,425,121,081
  5. Step 5: Solve for x
    x = 706,425,121,081/383,339.50
  6. Step 6: Final answer
    x = 1,842,818.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.