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Finding the Third Proportional to 135,948 and 290,007

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Solution

The third proportional to 135,948 and 290,007 is: 618,648.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,948 : 290,007 = 290,007 : x
  2. Step 2: Convert to fraction form
    135,948/290,007 = 290,007/x
  3. Step 3: Cross multiply
    135,948x = 290,007 × 290,007
  4. Step 4: Simplify right side
    135,948x = 84,104,060,049
  5. Step 5: Solve for x
    x = 84,104,060,049/135,948
  6. Step 6: Final answer
    x = 618,648.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.