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Finding the Third Proportional to 421,051.50 and 905,149.13

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Solution

The third proportional to 421,051.50 and 905,149.13 is: 1,945,830.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,051.50 : 905,149.13 = 905,149.13 : x
  2. Step 2: Convert to fraction form
    421,051.50/905,149.13 = 905,149.13/x
  3. Step 3: Cross multiply
    421,051.50x = 905,149.13 × 905,149.13
  4. Step 4: Simplify right side
    421,051.50x = 819,294,938,488.27
  5. Step 5: Solve for x
    x = 819,294,938,488.27/421,051.50
  6. Step 6: Final answer
    x = 1,945,830.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.