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Finding the Third Proportional to 298,184 and 478,812

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Solution

The third proportional to 298,184 and 478,812 is: 768,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,184 : 478,812 = 478,812 : x
  2. Step 2: Convert to fraction form
    298,184/478,812 = 478,812/x
  3. Step 3: Cross multiply
    298,184x = 478,812 × 478,812
  4. Step 4: Simplify right side
    298,184x = 229,260,931,344
  5. Step 5: Solve for x
    x = 229,260,931,344/298,184
  6. Step 6: Final answer
    x = 768,857.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.