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Finding the Third Proportional to 430,830 and 905,748

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Solution

The third proportional to 430,830 and 905,748 is: 1,904,183.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,830 : 905,748 = 905,748 : x
  2. Step 2: Convert to fraction form
    430,830/905,748 = 905,748/x
  3. Step 3: Cross multiply
    430,830x = 905,748 × 905,748
  4. Step 4: Simplify right side
    430,830x = 820,379,439,504
  5. Step 5: Solve for x
    x = 820,379,439,504/430,830
  6. Step 6: Final answer
    x = 1,904,183.64

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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.