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Finding the Third Proportional to 286,812 and 630,213

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Solution

The third proportional to 286,812 and 630,213 is: 1,384,769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,812 : 630,213 = 630,213 : x
  2. Step 2: Convert to fraction form
    286,812/630,213 = 630,213/x
  3. Step 3: Cross multiply
    286,812x = 630,213 × 630,213
  4. Step 4: Simplify right side
    286,812x = 397,168,425,369
  5. Step 5: Solve for x
    x = 397,168,425,369/286,812
  6. Step 6: Final answer
    x = 1,384,769.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.