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Finding the Third Proportional to 380,505 and 803,424

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Solution

The third proportional to 380,505 and 803,424 is: 1,696,403.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,505 : 803,424 = 803,424 : x
  2. Step 2: Convert to fraction form
    380,505/803,424 = 803,424/x
  3. Step 3: Cross multiply
    380,505x = 803,424 × 803,424
  4. Step 4: Simplify right side
    380,505x = 645,490,123,776
  5. Step 5: Solve for x
    x = 645,490,123,776/380,505
  6. Step 6: Final answer
    x = 1,696,403.79

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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.