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Finding the Third Proportional to 161,724 and 340,200

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Solution

The third proportional to 161,724 and 340,200 is: 715,639.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,724 : 340,200 = 340,200 : x
  2. Step 2: Convert to fraction form
    161,724/340,200 = 340,200/x
  3. Step 3: Cross multiply
    161,724x = 340,200 × 340,200
  4. Step 4: Simplify right side
    161,724x = 115,736,040,000
  5. Step 5: Solve for x
    x = 115,736,040,000/161,724
  6. Step 6: Final answer
    x = 715,639.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.