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Finding the Third Proportional to 164,131 and 353,209

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Solution

The third proportional to 164,131 and 353,209 is: 760,103.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,131 : 353,209 = 353,209 : x
  2. Step 2: Convert to fraction form
    164,131/353,209 = 353,209/x
  3. Step 3: Cross multiply
    164,131x = 353,209 × 353,209
  4. Step 4: Simplify right side
    164,131x = 124,756,597,681
  5. Step 5: Solve for x
    x = 124,756,597,681/164,131
  6. Step 6: Final answer
    x = 760,103.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.