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Finding the Third Proportional to 478,546.31 and 978,895.13

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Solution

The third proportional to 478,546.31 and 978,895.13 is: 2,002,388.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,546.31 : 978,895.13 = 978,895.13 : x
  2. Step 2: Convert to fraction form
    478,546.31/978,895.13 = 978,895.13/x
  3. Step 3: Cross multiply
    478,546.31x = 978,895.13 × 978,895.13
  4. Step 4: Simplify right side
    478,546.31x = 958,235,665,748.77
  5. Step 5: Solve for x
    x = 958,235,665,748.77/478,546.31
  6. Step 6: Final answer
    x = 2,002,388.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.