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Finding the Third Proportional to 386,208 and 807,724

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Solution

The third proportional to 386,208 and 807,724 is: 1,689,291.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,208 : 807,724 = 807,724 : x
  2. Step 2: Convert to fraction form
    386,208/807,724 = 807,724/x
  3. Step 3: Cross multiply
    386,208x = 807,724 × 807,724
  4. Step 4: Simplify right side
    386,208x = 652,418,060,176
  5. Step 5: Solve for x
    x = 652,418,060,176/386,208
  6. Step 6: Final answer
    x = 1,689,291.94

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.