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Finding the Third Proportional to 419,218 and 904,855

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Solution

The third proportional to 419,218 and 904,855 is: 1,953,071.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,218 : 904,855 = 904,855 : x
  2. Step 2: Convert to fraction form
    419,218/904,855 = 904,855/x
  3. Step 3: Cross multiply
    419,218x = 904,855 × 904,855
  4. Step 4: Simplify right side
    419,218x = 818,762,571,025
  5. Step 5: Solve for x
    x = 818,762,571,025/419,218
  6. Step 6: Final answer
    x = 1,953,071.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.