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Finding the Third Proportional to 380,393 and 803,221

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Solution

The third proportional to 380,393 and 803,221 is: 1,696,045.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,393 : 803,221 = 803,221 : x
  2. Step 2: Convert to fraction form
    380,393/803,221 = 803,221/x
  3. Step 3: Cross multiply
    380,393x = 803,221 × 803,221
  4. Step 4: Simplify right side
    380,393x = 645,163,974,841
  5. Step 5: Solve for x
    x = 645,163,974,841/380,393
  6. Step 6: Final answer
    x = 1,696,045.87

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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.