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Finding the Third Proportional to 470,678 and 1,019,980

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Solution

The third proportional to 470,678 and 1,019,980 is: 2,210,341.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,678 : 1,019,980 = 1,019,980 : x
  2. Step 2: Convert to fraction form
    470,678/1,019,980 = 1,019,980/x
  3. Step 3: Cross multiply
    470,678x = 1,019,980 × 1,019,980
  4. Step 4: Simplify right side
    470,678x = 1,040,359,200,400
  5. Step 5: Solve for x
    x = 1,040,359,200,400/470,678
  6. Step 6: Final answer
    x = 2,210,341.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.