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Finding the Third Proportional to 421,928 and 859,523

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Solution

The third proportional to 421,928 and 859,523 is: 1,750,961.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,928 : 859,523 = 859,523 : x
  2. Step 2: Convert to fraction form
    421,928/859,523 = 859,523/x
  3. Step 3: Cross multiply
    421,928x = 859,523 × 859,523
  4. Step 4: Simplify right side
    421,928x = 738,779,787,529
  5. Step 5: Solve for x
    x = 738,779,787,529/421,928
  6. Step 6: Final answer
    x = 1,750,961.75

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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.