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Finding the Third Proportional to 149,276 and 324,808

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Solution

The third proportional to 149,276 and 324,808 is: 706,746.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,276 : 324,808 = 324,808 : x
  2. Step 2: Convert to fraction form
    149,276/324,808 = 324,808/x
  3. Step 3: Cross multiply
    149,276x = 324,808 × 324,808
  4. Step 4: Simplify right side
    149,276x = 105,500,236,864
  5. Step 5: Solve for x
    x = 105,500,236,864/149,276
  6. Step 6: Final answer
    x = 706,746.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.