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Finding the Third Proportional to 159,308 and 349,216

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Solution

The third proportional to 159,308 and 349,216 is: 765,509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,308 : 349,216 = 349,216 : x
  2. Step 2: Convert to fraction form
    159,308/349,216 = 349,216/x
  3. Step 3: Cross multiply
    159,308x = 349,216 × 349,216
  4. Step 4: Simplify right side
    159,308x = 121,951,814,656
  5. Step 5: Solve for x
    x = 121,951,814,656/159,308
  6. Step 6: Final answer
    x = 765,509.67

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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.