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Finding the Third Proportional to 430,826 and 905,740

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Solution

The third proportional to 430,826 and 905,740 is: 1,904,167.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,826 : 905,740 = 905,740 : x
  2. Step 2: Convert to fraction form
    430,826/905,740 = 905,740/x
  3. Step 3: Cross multiply
    430,826x = 905,740 × 905,740
  4. Step 4: Simplify right side
    430,826x = 820,364,947,600
  5. Step 5: Solve for x
    x = 820,364,947,600/430,826
  6. Step 6: Final answer
    x = 1,904,167.69

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.