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Finding the Third Proportional to 353,958 and 764,220

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Solution

The third proportional to 353,958 and 764,220 is: 1,650,004.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,958 : 764,220 = 764,220 : x
  2. Step 2: Convert to fraction form
    353,958/764,220 = 764,220/x
  3. Step 3: Cross multiply
    353,958x = 764,220 × 764,220
  4. Step 4: Simplify right side
    353,958x = 584,032,208,400
  5. Step 5: Solve for x
    x = 584,032,208,400/353,958
  6. Step 6: Final answer
    x = 1,650,004.26

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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.