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Finding the Third Proportional to 422,428.50 and 879,808.50

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Solution

The third proportional to 422,428.50 and 879,808.50 is: 1,832,411.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,428.50 : 879,808.50 = 879,808.50 : x
  2. Step 2: Convert to fraction form
    422,428.50/879,808.50 = 879,808.50/x
  3. Step 3: Cross multiply
    422,428.50x = 879,808.50 × 879,808.50
  4. Step 4: Simplify right side
    422,428.50x = 774,062,996,672.25
  5. Step 5: Solve for x
    x = 774,062,996,672.25/422,428.50
  6. Step 6: Final answer
    x = 1,832,411.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.