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Finding the Third Proportional to 421,672 and 922,000

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Solution

The third proportional to 421,672 and 922,000 is: 2,015,983.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,672 : 922,000 = 922,000 : x
  2. Step 2: Convert to fraction form
    421,672/922,000 = 922,000/x
  3. Step 3: Cross multiply
    421,672x = 922,000 × 922,000
  4. Step 4: Simplify right side
    421,672x = 850,084,000,000
  5. Step 5: Solve for x
    x = 850,084,000,000/421,672
  6. Step 6: Final answer
    x = 2,015,983.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.