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Finding the Third Proportional to 217,900 and 470,813

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Solution

The third proportional to 217,900 and 470,813 is: 1,017,278.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,900 : 470,813 = 470,813 : x
  2. Step 2: Convert to fraction form
    217,900/470,813 = 470,813/x
  3. Step 3: Cross multiply
    217,900x = 470,813 × 470,813
  4. Step 4: Simplify right side
    217,900x = 221,664,880,969
  5. Step 5: Solve for x
    x = 221,664,880,969/217,900
  6. Step 6: Final answer
    x = 1,017,278.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.