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Finding the Third Proportional to 219,010.50 and 470,763

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Solution

The third proportional to 219,010.50 and 470,763 is: 1,011,904.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,010.50 : 470,763 = 470,763 : x
  2. Step 2: Convert to fraction form
    219,010.50/470,763 = 470,763/x
  3. Step 3: Cross multiply
    219,010.50x = 470,763 × 470,763
  4. Step 4: Simplify right side
    219,010.50x = 221,617,802,169
  5. Step 5: Solve for x
    x = 221,617,802,169/219,010.50
  6. Step 6: Final answer
    x = 1,011,904.92

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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.