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Finding the Third Proportional to 162,206 and 355,989

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Solution

The third proportional to 162,206 and 355,989 is: 781,279.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,206 : 355,989 = 355,989 : x
  2. Step 2: Convert to fraction form
    162,206/355,989 = 355,989/x
  3. Step 3: Cross multiply
    162,206x = 355,989 × 355,989
  4. Step 4: Simplify right side
    162,206x = 126,728,168,121
  5. Step 5: Solve for x
    x = 126,728,168,121/162,206
  6. Step 6: Final answer
    x = 781,279.16

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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.