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Finding the Third Proportional to 426,108 and 646,938

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Solution

The third proportional to 426,108 and 646,938 is: 982,212.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,108 : 646,938 = 646,938 : x
  2. Step 2: Convert to fraction form
    426,108/646,938 = 646,938/x
  3. Step 3: Cross multiply
    426,108x = 646,938 × 646,938
  4. Step 4: Simplify right side
    426,108x = 418,528,775,844
  5. Step 5: Solve for x
    x = 418,528,775,844/426,108
  6. Step 6: Final answer
    x = 982,212.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.