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Finding the Third Proportional to 164,209 and 355,405

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Solution

The third proportional to 164,209 and 355,405 is: 769,219.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,209 : 355,405 = 355,405 : x
  2. Step 2: Convert to fraction form
    164,209/355,405 = 355,405/x
  3. Step 3: Cross multiply
    164,209x = 355,405 × 355,405
  4. Step 4: Simplify right side
    164,209x = 126,312,714,025
  5. Step 5: Solve for x
    x = 126,312,714,025/164,209
  6. Step 6: Final answer
    x = 769,219.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.