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Finding the Third Proportional to 242,889 and 339,651

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Solution

The third proportional to 242,889 and 339,651 is: 474,961.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,889 : 339,651 = 339,651 : x
  2. Step 2: Convert to fraction form
    242,889/339,651 = 339,651/x
  3. Step 3: Cross multiply
    242,889x = 339,651 × 339,651
  4. Step 4: Simplify right side
    242,889x = 115,362,801,801
  5. Step 5: Solve for x
    x = 115,362,801,801/242,889
  6. Step 6: Final answer
    x = 474,961.00

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.