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Finding the Third Proportional to 456,848 and 1,052,912

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Solution

The third proportional to 456,848 and 1,052,912 is: 2,426,679.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,848 : 1,052,912 = 1,052,912 : x
  2. Step 2: Convert to fraction form
    456,848/1,052,912 = 1,052,912/x
  3. Step 3: Cross multiply
    456,848x = 1,052,912 × 1,052,912
  4. Step 4: Simplify right side
    456,848x = 1,108,623,679,744
  5. Step 5: Solve for x
    x = 1,108,623,679,744/456,848
  6. Step 6: Final answer
    x = 2,426,679.51

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.