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Finding the Third Proportional to 383,442.19 and 830,349.56

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Solution

The third proportional to 383,442.19 and 830,349.56 is: 1,798,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,442.19 : 830,349.56 = 830,349.56 : x
  2. Step 2: Convert to fraction form
    383,442.19/830,349.56 = 830,349.56/x
  3. Step 3: Cross multiply
    383,442.19x = 830,349.56 × 830,349.56
  4. Step 4: Simplify right side
    383,442.19x = 689,480,395,943.94
  5. Step 5: Solve for x
    x = 689,480,395,943.94/383,442.19
  6. Step 6: Final answer
    x = 1,798,133.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.