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Finding the Third Proportional to 489,240 and 778,329

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Solution

The third proportional to 489,240 and 778,329 is: 1,238,238.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,240 : 778,329 = 778,329 : x
  2. Step 2: Convert to fraction form
    489,240/778,329 = 778,329/x
  3. Step 3: Cross multiply
    489,240x = 778,329 × 778,329
  4. Step 4: Simplify right side
    489,240x = 605,796,032,241
  5. Step 5: Solve for x
    x = 605,796,032,241/489,240
  6. Step 6: Final answer
    x = 1,238,238.97

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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.