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Finding the Third Proportional to 212,967 and 470,217

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Solution

The third proportional to 212,967 and 470,217 is: 1,038,207.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,967 : 470,217 = 470,217 : x
  2. Step 2: Convert to fraction form
    212,967/470,217 = 470,217/x
  3. Step 3: Cross multiply
    212,967x = 470,217 × 470,217
  4. Step 4: Simplify right side
    212,967x = 221,104,027,089
  5. Step 5: Solve for x
    x = 221,104,027,089/212,967
  6. Step 6: Final answer
    x = 1,038,207.92

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.