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Finding the Third Proportional to 270,376 and 397,416

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Solution

The third proportional to 270,376 and 397,416 is: 584,147.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,376 : 397,416 = 397,416 : x
  2. Step 2: Convert to fraction form
    270,376/397,416 = 397,416/x
  3. Step 3: Cross multiply
    270,376x = 397,416 × 397,416
  4. Step 4: Simplify right side
    270,376x = 157,939,477,056
  5. Step 5: Solve for x
    x = 157,939,477,056/270,376
  6. Step 6: Final answer
    x = 584,147.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.