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Finding the Third Proportional to 362,752 and 777,920

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Solution

The third proportional to 362,752 and 777,920 is: 1,668,245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,752 : 777,920 = 777,920 : x
  2. Step 2: Convert to fraction form
    362,752/777,920 = 777,920/x
  3. Step 3: Cross multiply
    362,752x = 777,920 × 777,920
  4. Step 4: Simplify right side
    362,752x = 605,159,526,400
  5. Step 5: Solve for x
    x = 605,159,526,400/362,752
  6. Step 6: Final answer
    x = 1,668,245.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.