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Finding the Third Proportional to 212,274 and 314,442

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Solution

The third proportional to 212,274 and 314,442 is: 465,783.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,274 : 314,442 = 314,442 : x
  2. Step 2: Convert to fraction form
    212,274/314,442 = 314,442/x
  3. Step 3: Cross multiply
    212,274x = 314,442 × 314,442
  4. Step 4: Simplify right side
    212,274x = 98,873,771,364
  5. Step 5: Solve for x
    x = 98,873,771,364/212,274
  6. Step 6: Final answer
    x = 465,783.71

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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.