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Finding the Third Proportional to 130,814 and 196,221

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Solution

The third proportional to 130,814 and 196,221 is: 294,331.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,814 : 196,221 = 196,221 : x
  2. Step 2: Convert to fraction form
    130,814/196,221 = 196,221/x
  3. Step 3: Cross multiply
    130,814x = 196,221 × 196,221
  4. Step 4: Simplify right side
    130,814x = 38,502,680,841
  5. Step 5: Solve for x
    x = 38,502,680,841/130,814
  6. Step 6: Final answer
    x = 294,331.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.