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Finding the Third Proportional to 353,928 and 777,840

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Solution

The third proportional to 353,928 and 777,840 is: 1,709,486.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,928 : 777,840 = 777,840 : x
  2. Step 2: Convert to fraction form
    353,928/777,840 = 777,840/x
  3. Step 3: Cross multiply
    353,928x = 777,840 × 777,840
  4. Step 4: Simplify right side
    353,928x = 605,035,065,600
  5. Step 5: Solve for x
    x = 605,035,065,600/353,928
  6. Step 6: Final answer
    x = 1,709,486.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.