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Finding the Third Proportional to 215,738 and 470,407

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Solution

The third proportional to 215,738 and 470,407 is: 1,025,701.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,738 : 470,407 = 470,407 : x
  2. Step 2: Convert to fraction form
    215,738/470,407 = 470,407/x
  3. Step 3: Cross multiply
    215,738x = 470,407 × 470,407
  4. Step 4: Simplify right side
    215,738x = 221,282,745,649
  5. Step 5: Solve for x
    x = 221,282,745,649/215,738
  6. Step 6: Final answer
    x = 1,025,701.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.