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Finding the Third Proportional to 478,809 and 1,028,178

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Solution

The third proportional to 478,809 and 1,028,178 is: 2,207,874.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,809 : 1,028,178 = 1,028,178 : x
  2. Step 2: Convert to fraction form
    478,809/1,028,178 = 1,028,178/x
  3. Step 3: Cross multiply
    478,809x = 1,028,178 × 1,028,178
  4. Step 4: Simplify right side
    478,809x = 1,057,149,999,684
  5. Step 5: Solve for x
    x = 1,057,149,999,684/478,809
  6. Step 6: Final answer
    x = 2,207,874.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.