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Finding the Third Proportional to 426,120.75 and 904,790.25

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Solution

The third proportional to 426,120.75 and 904,790.25 is: 1,921,158.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,120.75 : 904,790.25 = 904,790.25 : x
  2. Step 2: Convert to fraction form
    426,120.75/904,790.25 = 904,790.25/x
  3. Step 3: Cross multiply
    426,120.75x = 904,790.25 × 904,790.25
  4. Step 4: Simplify right side
    426,120.75x = 818,645,396,495.06
  5. Step 5: Solve for x
    x = 818,645,396,495.06/426,120.75
  6. Step 6: Final answer
    x = 1,921,158.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.