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Finding the Third Proportional to 378,912 and 583,920

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Solution

The third proportional to 378,912 and 583,920 is: 899,846.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,912 : 583,920 = 583,920 : x
  2. Step 2: Convert to fraction form
    378,912/583,920 = 583,920/x
  3. Step 3: Cross multiply
    378,912x = 583,920 × 583,920
  4. Step 4: Simplify right side
    378,912x = 340,962,566,400
  5. Step 5: Solve for x
    x = 340,962,566,400/378,912
  6. Step 6: Final answer
    x = 899,846.31

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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.