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Finding the Third Proportional to 489,246 and 778,338

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Solution

The third proportional to 489,246 and 778,338 is: 1,238,252.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,246 : 778,338 = 778,338 : x
  2. Step 2: Convert to fraction form
    489,246/778,338 = 778,338/x
  3. Step 3: Cross multiply
    489,246x = 778,338 × 778,338
  4. Step 4: Simplify right side
    489,246x = 605,810,042,244
  5. Step 5: Solve for x
    x = 605,810,042,244/489,246
  6. Step 6: Final answer
    x = 1,238,252.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.