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Finding the Third Proportional to 214,278 and 317,043

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Solution

The third proportional to 214,278 and 317,043 is: 469,092.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,278 : 317,043 = 317,043 : x
  2. Step 2: Convert to fraction form
    214,278/317,043 = 317,043/x
  3. Step 3: Cross multiply
    214,278x = 317,043 × 317,043
  4. Step 4: Simplify right side
    214,278x = 100,516,263,849
  5. Step 5: Solve for x
    x = 100,516,263,849/214,278
  6. Step 6: Final answer
    x = 469,092.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.