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Finding the Third Proportional to 378,920 and 583,932

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Solution

The third proportional to 378,920 and 583,932 is: 899,864.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,920 : 583,932 = 583,932 : x
  2. Step 2: Convert to fraction form
    378,920/583,932 = 583,932/x
  3. Step 3: Cross multiply
    378,920x = 583,932 × 583,932
  4. Step 4: Simplify right side
    378,920x = 340,976,580,624
  5. Step 5: Solve for x
    x = 340,976,580,624/378,920
  6. Step 6: Final answer
    x = 899,864.30

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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.