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Finding the Third Proportional to 257,196 and 393,206

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Solution

The third proportional to 257,196 and 393,206 is: 601,140.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,196 : 393,206 = 393,206 : x
  2. Step 2: Convert to fraction form
    257,196/393,206 = 393,206/x
  3. Step 3: Cross multiply
    257,196x = 393,206 × 393,206
  4. Step 4: Simplify right side
    257,196x = 154,610,958,436
  5. Step 5: Solve for x
    x = 154,610,958,436/257,196
  6. Step 6: Final answer
    x = 601,140.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.