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Finding the Third Proportional to 217,087 and 469,274

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Solution

The third proportional to 217,087 and 469,274 is: 1,014,423.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,087 : 469,274 = 469,274 : x
  2. Step 2: Convert to fraction form
    217,087/469,274 = 469,274/x
  3. Step 3: Cross multiply
    217,087x = 469,274 × 469,274
  4. Step 4: Simplify right side
    217,087x = 220,218,087,076
  5. Step 5: Solve for x
    x = 220,218,087,076/217,087
  6. Step 6: Final answer
    x = 1,014,423.19

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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.