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Finding the Third Proportional to 353,969 and 770,139

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Solution

The third proportional to 353,969 and 770,139 is: 1,675,610.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,969 : 770,139 = 770,139 : x
  2. Step 2: Convert to fraction form
    353,969/770,139 = 770,139/x
  3. Step 3: Cross multiply
    353,969x = 770,139 × 770,139
  4. Step 4: Simplify right side
    353,969x = 593,114,079,321
  5. Step 5: Solve for x
    x = 593,114,079,321/353,969
  6. Step 6: Final answer
    x = 1,675,610.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.