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Finding the Third Proportional to 378,258 and 773,796

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Solution

The third proportional to 378,258 and 773,796 is: 1,582,941.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,258 : 773,796 = 773,796 : x
  2. Step 2: Convert to fraction form
    378,258/773,796 = 773,796/x
  3. Step 3: Cross multiply
    378,258x = 773,796 × 773,796
  4. Step 4: Simplify right side
    378,258x = 598,760,249,616
  5. Step 5: Solve for x
    x = 598,760,249,616/378,258
  6. Step 6: Final answer
    x = 1,582,941.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.