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Finding the Third Proportional to 298,976 and 402,783

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Solution

The third proportional to 298,976 and 402,783 is: 542,632.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,976 : 402,783 = 402,783 : x
  2. Step 2: Convert to fraction form
    298,976/402,783 = 402,783/x
  3. Step 3: Cross multiply
    298,976x = 402,783 × 402,783
  4. Step 4: Simplify right side
    298,976x = 162,234,145,089
  5. Step 5: Solve for x
    x = 162,234,145,089/298,976
  6. Step 6: Final answer
    x = 542,632.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.