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Finding the Third Proportional to 163,458 and 344,412

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Solution

The third proportional to 163,458 and 344,412 is: 725,688.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,458 : 344,412 = 344,412 : x
  2. Step 2: Convert to fraction form
    163,458/344,412 = 344,412/x
  3. Step 3: Cross multiply
    163,458x = 344,412 × 344,412
  4. Step 4: Simplify right side
    163,458x = 118,619,625,744
  5. Step 5: Solve for x
    x = 118,619,625,744/163,458
  6. Step 6: Final answer
    x = 725,688.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.