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Finding the Third Proportional to 172,290 and 365,454

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Solution

The third proportional to 172,290 and 365,454 is: 775,185.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,290 : 365,454 = 365,454 : x
  2. Step 2: Convert to fraction form
    172,290/365,454 = 365,454/x
  3. Step 3: Cross multiply
    172,290x = 365,454 × 365,454
  4. Step 4: Simplify right side
    172,290x = 133,556,626,116
  5. Step 5: Solve for x
    x = 133,556,626,116/172,290
  6. Step 6: Final answer
    x = 775,185.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.