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Finding the Third Proportional to 197,346 and 434,058

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Solution

The third proportional to 197,346 and 434,058 is: 954,700.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,346 : 434,058 = 434,058 : x
  2. Step 2: Convert to fraction form
    197,346/434,058 = 434,058/x
  3. Step 3: Cross multiply
    197,346x = 434,058 × 434,058
  4. Step 4: Simplify right side
    197,346x = 188,406,347,364
  5. Step 5: Solve for x
    x = 188,406,347,364/197,346
  6. Step 6: Final answer
    x = 954,700.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.