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Finding the Third Proportional to 217,407 and 470,991

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Solution

The third proportional to 217,407 and 470,991 is: 1,020,355.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,407 : 470,991 = 470,991 : x
  2. Step 2: Convert to fraction form
    217,407/470,991 = 470,991/x
  3. Step 3: Cross multiply
    217,407x = 470,991 × 470,991
  4. Step 4: Simplify right side
    217,407x = 221,832,522,081
  5. Step 5: Solve for x
    x = 221,832,522,081/217,407
  6. Step 6: Final answer
    x = 1,020,355.93

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Why These Related Problems?

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