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Finding the Third Proportional to 419,230.69 and 905,428.13

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Solution

The third proportional to 419,230.69 and 905,428.13 is: 1,955,486.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,230.69 : 905,428.13 = 905,428.13 : x
  2. Step 2: Convert to fraction form
    419,230.69/905,428.13 = 905,428.13/x
  3. Step 3: Cross multiply
    419,230.69x = 905,428.13 × 905,428.13
  4. Step 4: Simplify right side
    419,230.69x = 819,800,089,541.02
  5. Step 5: Solve for x
    x = 819,800,089,541.02/419,230.69
  6. Step 6: Final answer
    x = 1,955,486.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.