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Finding the Third Proportional to 821,421 and 1,908,400.50

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Solution

The third proportional to 821,421 and 1,908,400.50 is: 4,433,770.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,421 : 1,908,400.50 = 1,908,400.50 : x
  2. Step 2: Convert to fraction form
    821,421/1,908,400.50 = 1,908,400.50/x
  3. Step 3: Cross multiply
    821,421x = 1,908,400.50 × 1,908,400.50
  4. Step 4: Simplify right side
    821,421x = 3,641,992,468,400.25
  5. Step 5: Solve for x
    x = 3,641,992,468,400.25/821,421
  6. Step 6: Final answer
    x = 4,433,770.83

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.