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Finding the Third Proportional to 501,978 and 978,732

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Solution

The third proportional to 501,978 and 978,732 is: 1,908,283.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,978 : 978,732 = 978,732 : x
  2. Step 2: Convert to fraction form
    501,978/978,732 = 978,732/x
  3. Step 3: Cross multiply
    501,978x = 978,732 × 978,732
  4. Step 4: Simplify right side
    501,978x = 957,916,327,824
  5. Step 5: Solve for x
    x = 957,916,327,824/501,978
  6. Step 6: Final answer
    x = 1,908,283.49

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.