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Finding the Third Proportional to 367,370 and 778,828

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Solution

The third proportional to 367,370 and 778,828 is: 1,651,122.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,370 : 778,828 = 778,828 : x
  2. Step 2: Convert to fraction form
    367,370/778,828 = 778,828/x
  3. Step 3: Cross multiply
    367,370x = 778,828 × 778,828
  4. Step 4: Simplify right side
    367,370x = 606,573,053,584
  5. Step 5: Solve for x
    x = 606,573,053,584/367,370
  6. Step 6: Final answer
    x = 1,651,122.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.