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Finding the Third Proportional to 648,654.75 and 988,974.75

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Solution

The third proportional to 648,654.75 and 988,974.75 is: 1,507,845.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,654.75 : 988,974.75 = 988,974.75 : x
  2. Step 2: Convert to fraction form
    648,654.75/988,974.75 = 988,974.75/x
  3. Step 3: Cross multiply
    648,654.75x = 988,974.75 × 988,974.75
  4. Step 4: Simplify right side
    648,654.75x = 978,071,056,137.56
  5. Step 5: Solve for x
    x = 978,071,056,137.56/648,654.75
  6. Step 6: Final answer
    x = 1,507,845.36

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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.