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Finding the Third Proportional to 162,468 and 356,321

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Solution

The third proportional to 162,468 and 356,321 is: 781,474.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,468 : 356,321 = 356,321 : x
  2. Step 2: Convert to fraction form
    162,468/356,321 = 356,321/x
  3. Step 3: Cross multiply
    162,468x = 356,321 × 356,321
  4. Step 4: Simplify right side
    162,468x = 126,964,655,041
  5. Step 5: Solve for x
    x = 126,964,655,041/162,468
  6. Step 6: Final answer
    x = 781,474.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.