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Finding the Third Proportional to 777,216.75 and 1,680,835.50

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Solution

The third proportional to 777,216.75 and 1,680,835.50 is: 3,635,032.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,216.75 : 1,680,835.50 = 1,680,835.50 : x
  2. Step 2: Convert to fraction form
    777,216.75/1,680,835.50 = 1,680,835.50/x
  3. Step 3: Cross multiply
    777,216.75x = 1,680,835.50 × 1,680,835.50
  4. Step 4: Simplify right side
    777,216.75x = 2,825,207,978,060.25
  5. Step 5: Solve for x
    x = 2,825,207,978,060.25/777,216.75
  6. Step 6: Final answer
    x = 3,635,032.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.