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Finding the Third Proportional to 904,309 and 1,205,505

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Solution

The third proportional to 904,309 and 1,205,505 is: 1,607,019.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,309 : 1,205,505 = 1,205,505 : x
  2. Step 2: Convert to fraction form
    904,309/1,205,505 = 1,205,505/x
  3. Step 3: Cross multiply
    904,309x = 1,205,505 × 1,205,505
  4. Step 4: Simplify right side
    904,309x = 1,453,242,305,025
  5. Step 5: Solve for x
    x = 1,453,242,305,025/904,309
  6. Step 6: Final answer
    x = 1,607,019.62

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.