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Finding the Third Proportional to 383,428.69 and 830,334.38

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Solution

The third proportional to 383,428.69 and 830,334.38 is: 1,798,131.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,428.69 : 830,334.38 = 830,334.38 : x
  2. Step 2: Convert to fraction form
    383,428.69/830,334.38 = 830,334.38/x
  3. Step 3: Cross multiply
    383,428.69x = 830,334.38 × 830,334.38
  4. Step 4: Simplify right side
    383,428.69x = 689,455,174,306.64
  5. Step 5: Solve for x
    x = 689,455,174,306.64/383,428.69
  6. Step 6: Final answer
    x = 1,798,131.43

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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.