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Finding the Third Proportional to 381,321 and 506,007

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Solution

The third proportional to 381,321 and 506,007 is: 671,463.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,321 : 506,007 = 506,007 : x
  2. Step 2: Convert to fraction form
    381,321/506,007 = 506,007/x
  3. Step 3: Cross multiply
    381,321x = 506,007 × 506,007
  4. Step 4: Simplify right side
    381,321x = 256,043,084,049
  5. Step 5: Solve for x
    x = 256,043,084,049/381,321
  6. Step 6: Final answer
    x = 671,463.37

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.