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Finding the Third Proportional to 421,924 and 859,515

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Solution

The third proportional to 421,924 and 859,515 is: 1,750,945.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,924 : 859,515 = 859,515 : x
  2. Step 2: Convert to fraction form
    421,924/859,515 = 859,515/x
  3. Step 3: Cross multiply
    421,924x = 859,515 × 859,515
  4. Step 4: Simplify right side
    421,924x = 738,766,035,225
  5. Step 5: Solve for x
    x = 738,766,035,225/421,924
  6. Step 6: Final answer
    x = 1,750,945.75

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.