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Finding the Third Proportional to 162,405 and 361,719

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Solution

The third proportional to 162,405 and 361,719 is: 805,644.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,405 : 361,719 = 361,719 : x
  2. Step 2: Convert to fraction form
    162,405/361,719 = 361,719/x
  3. Step 3: Cross multiply
    162,405x = 361,719 × 361,719
  4. Step 4: Simplify right side
    162,405x = 130,840,634,961
  5. Step 5: Solve for x
    x = 130,840,634,961/162,405
  6. Step 6: Final answer
    x = 805,644.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.