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Finding the Third Proportional to 219,040.50 and 470,805

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Solution

The third proportional to 219,040.50 and 470,805 is: 1,011,946.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,040.50 : 470,805 = 470,805 : x
  2. Step 2: Convert to fraction form
    219,040.50/470,805 = 470,805/x
  3. Step 3: Cross multiply
    219,040.50x = 470,805 × 470,805
  4. Step 4: Simplify right side
    219,040.50x = 221,657,348,025
  5. Step 5: Solve for x
    x = 221,657,348,025/219,040.50
  6. Step 6: Final answer
    x = 1,011,946.87

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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.