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Finding the Third Proportional to 421,970 and 904,902

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Solution

The third proportional to 421,970 and 904,902 is: 1,940,535.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,970 : 904,902 = 904,902 : x
  2. Step 2: Convert to fraction form
    421,970/904,902 = 904,902/x
  3. Step 3: Cross multiply
    421,970x = 904,902 × 904,902
  4. Step 4: Simplify right side
    421,970x = 818,847,629,604
  5. Step 5: Solve for x
    x = 818,847,629,604/421,970
  6. Step 6: Final answer
    x = 1,940,535.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.