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Finding the Third Proportional to 248,120 and 354,396

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Solution

The third proportional to 248,120 and 354,396 is: 506,192.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,120 : 354,396 = 354,396 : x
  2. Step 2: Convert to fraction form
    248,120/354,396 = 354,396/x
  3. Step 3: Cross multiply
    248,120x = 354,396 × 354,396
  4. Step 4: Simplify right side
    248,120x = 125,596,524,816
  5. Step 5: Solve for x
    x = 125,596,524,816/248,120
  6. Step 6: Final answer
    x = 506,192.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.