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Finding the Third Proportional to 330,138 and 686,106

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Solution

The third proportional to 330,138 and 686,106 is: 1,425,892.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,138 : 686,106 = 686,106 : x
  2. Step 2: Convert to fraction form
    330,138/686,106 = 686,106/x
  3. Step 3: Cross multiply
    330,138x = 686,106 × 686,106
  4. Step 4: Simplify right side
    330,138x = 470,741,443,236
  5. Step 5: Solve for x
    x = 470,741,443,236/330,138
  6. Step 6: Final answer
    x = 1,425,892.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.