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Finding the Third Proportional to 217,054 and 465,257

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Solution

The third proportional to 217,054 and 465,257 is: 997,282.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,054 : 465,257 = 465,257 : x
  2. Step 2: Convert to fraction form
    217,054/465,257 = 465,257/x
  3. Step 3: Cross multiply
    217,054x = 465,257 × 465,257
  4. Step 4: Simplify right side
    217,054x = 216,464,076,049
  5. Step 5: Solve for x
    x = 216,464,076,049/217,054
  6. Step 6: Final answer
    x = 997,282.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.