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Finding the Third Proportional to 193,157 and 307,352

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Solution

The third proportional to 193,157 and 307,352 is: 489,059.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,157 : 307,352 = 307,352 : x
  2. Step 2: Convert to fraction form
    193,157/307,352 = 307,352/x
  3. Step 3: Cross multiply
    193,157x = 307,352 × 307,352
  4. Step 4: Simplify right side
    193,157x = 94,465,251,904
  5. Step 5: Solve for x
    x = 94,465,251,904/193,157
  6. Step 6: Final answer
    x = 489,059.43

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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.