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Finding the Third Proportional to 193,230 and 306,639

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Solution

The third proportional to 193,230 and 306,639 is: 486,609.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,230 : 306,639 = 306,639 : x
  2. Step 2: Convert to fraction form
    193,230/306,639 = 306,639/x
  3. Step 3: Cross multiply
    193,230x = 306,639 × 306,639
  4. Step 4: Simplify right side
    193,230x = 94,027,476,321
  5. Step 5: Solve for x
    x = 94,027,476,321/193,230
  6. Step 6: Final answer
    x = 486,609.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.