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Finding the Third Proportional to 219,029 and 470,779

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Solution

The third proportional to 219,029 and 470,779 is: 1,011,888.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,029 : 470,779 = 470,779 : x
  2. Step 2: Convert to fraction form
    219,029/470,779 = 470,779/x
  3. Step 3: Cross multiply
    219,029x = 470,779 × 470,779
  4. Step 4: Simplify right side
    219,029x = 221,632,866,841
  5. Step 5: Solve for x
    x = 221,632,866,841/219,029
  6. Step 6: Final answer
    x = 1,011,888.23

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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.