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Finding the Third Proportional to 217,242 and 469,476

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Solution

The third proportional to 217,242 and 469,476 is: 1,014,572.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,242 : 469,476 = 469,476 : x
  2. Step 2: Convert to fraction form
    217,242/469,476 = 469,476/x
  3. Step 3: Cross multiply
    217,242x = 469,476 × 469,476
  4. Step 4: Simplify right side
    217,242x = 220,407,714,576
  5. Step 5: Solve for x
    x = 220,407,714,576/217,242
  6. Step 6: Final answer
    x = 1,014,572.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.