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Finding the Third Proportional to 378,916 and 583,926

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Solution

The third proportional to 378,916 and 583,926 is: 899,855.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,916 : 583,926 = 583,926 : x
  2. Step 2: Convert to fraction form
    378,916/583,926 = 583,926/x
  3. Step 3: Cross multiply
    378,916x = 583,926 × 583,926
  4. Step 4: Simplify right side
    378,916x = 340,969,573,476
  5. Step 5: Solve for x
    x = 340,969,573,476/378,916
  6. Step 6: Final answer
    x = 899,855.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.