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Finding the Third Proportional to 489,870 and 742,189

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Solution

The third proportional to 489,870 and 742,189 is: 1,124,470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,870 : 742,189 = 742,189 : x
  2. Step 2: Convert to fraction form
    489,870/742,189 = 742,189/x
  3. Step 3: Cross multiply
    489,870x = 742,189 × 742,189
  4. Step 4: Simplify right side
    489,870x = 550,844,511,721
  5. Step 5: Solve for x
    x = 550,844,511,721/489,870
  6. Step 6: Final answer
    x = 1,124,470.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.