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Finding the Third Proportional to 163,860 and 353,964

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Solution

The third proportional to 163,860 and 353,964 is: 764,619.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,860 : 353,964 = 353,964 : x
  2. Step 2: Convert to fraction form
    163,860/353,964 = 353,964/x
  3. Step 3: Cross multiply
    163,860x = 353,964 × 353,964
  4. Step 4: Simplify right side
    163,860x = 125,290,513,296
  5. Step 5: Solve for x
    x = 125,290,513,296/163,860
  6. Step 6: Final answer
    x = 764,619.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.