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Finding the Third Proportional to 381,312 and 814,968

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Solution

The third proportional to 381,312 and 814,968 is: 1,741,809.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,312 : 814,968 = 814,968 : x
  2. Step 2: Convert to fraction form
    381,312/814,968 = 814,968/x
  3. Step 3: Cross multiply
    381,312x = 814,968 × 814,968
  4. Step 4: Simplify right side
    381,312x = 664,172,841,024
  5. Step 5: Solve for x
    x = 664,172,841,024/381,312
  6. Step 6: Final answer
    x = 1,741,809.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.