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Finding the Third Proportional to 219,821 and 470,746

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Solution

The third proportional to 219,821 and 470,746 is: 1,008,101.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,821 : 470,746 = 470,746 : x
  2. Step 2: Convert to fraction form
    219,821/470,746 = 470,746/x
  3. Step 3: Cross multiply
    219,821x = 470,746 × 470,746
  4. Step 4: Simplify right side
    219,821x = 221,601,796,516
  5. Step 5: Solve for x
    x = 221,601,796,516/219,821
  6. Step 6: Final answer
    x = 1,008,101.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.