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Finding the Third Proportional to 380,820 and 534,942

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Solution

The third proportional to 380,820 and 534,942 is: 751,438.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,820 : 534,942 = 534,942 : x
  2. Step 2: Convert to fraction form
    380,820/534,942 = 534,942/x
  3. Step 3: Cross multiply
    380,820x = 534,942 × 534,942
  4. Step 4: Simplify right side
    380,820x = 286,162,943,364
  5. Step 5: Solve for x
    x = 286,162,943,364/380,820
  6. Step 6: Final answer
    x = 751,438.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.