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Finding the Third Proportional to 426,936 and 917,190

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Solution

The third proportional to 426,936 and 917,190 is: 1,970,406.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,936 : 917,190 = 917,190 : x
  2. Step 2: Convert to fraction form
    426,936/917,190 = 917,190/x
  3. Step 3: Cross multiply
    426,936x = 917,190 × 917,190
  4. Step 4: Simplify right side
    426,936x = 841,237,496,100
  5. Step 5: Solve for x
    x = 841,237,496,100/426,936
  6. Step 6: Final answer
    x = 1,970,406.56

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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.