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Finding the Third Proportional to 426,490 and 919,077

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Solution

The third proportional to 426,490 and 919,077 is: 1,980,591.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,490 : 919,077 = 919,077 : x
  2. Step 2: Convert to fraction form
    426,490/919,077 = 919,077/x
  3. Step 3: Cross multiply
    426,490x = 919,077 × 919,077
  4. Step 4: Simplify right side
    426,490x = 844,702,531,929
  5. Step 5: Solve for x
    x = 844,702,531,929/426,490
  6. Step 6: Final answer
    x = 1,980,591.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.