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Finding the Third Proportional to 421,929 and 859,524

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Solution

The third proportional to 421,929 and 859,524 is: 1,750,961.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,929 : 859,524 = 859,524 : x
  2. Step 2: Convert to fraction form
    421,929/859,524 = 859,524/x
  3. Step 3: Cross multiply
    421,929x = 859,524 × 859,524
  4. Step 4: Simplify right side
    421,929x = 738,781,506,576
  5. Step 5: Solve for x
    x = 738,781,506,576/421,929
  6. Step 6: Final answer
    x = 1,750,961.67

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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.