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Finding the Third Proportional to 258,322 and 407,295

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Solution

The third proportional to 258,322 and 407,295 is: 642,179.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,322 : 407,295 = 407,295 : x
  2. Step 2: Convert to fraction form
    258,322/407,295 = 407,295/x
  3. Step 3: Cross multiply
    258,322x = 407,295 × 407,295
  4. Step 4: Simplify right side
    258,322x = 165,889,217,025
  5. Step 5: Solve for x
    x = 165,889,217,025/258,322
  6. Step 6: Final answer
    x = 642,179.98

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.