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Finding the Third Proportional to 380,368 and 803,182

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Solution

The third proportional to 380,368 and 803,182 is: 1,695,992.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,368 : 803,182 = 803,182 : x
  2. Step 2: Convert to fraction form
    380,368/803,182 = 803,182/x
  3. Step 3: Cross multiply
    380,368x = 803,182 × 803,182
  4. Step 4: Simplify right side
    380,368x = 645,101,325,124
  5. Step 5: Solve for x
    x = 645,101,325,124/380,368
  6. Step 6: Final answer
    x = 1,695,992.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.