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Finding the Third Proportional to 279,783 and 603,783

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Solution

The third proportional to 279,783 and 603,783 is: 1,302,988.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,783 : 603,783 = 603,783 : x
  2. Step 2: Convert to fraction form
    279,783/603,783 = 603,783/x
  3. Step 3: Cross multiply
    279,783x = 603,783 × 603,783
  4. Step 4: Simplify right side
    279,783x = 364,553,911,089
  5. Step 5: Solve for x
    x = 364,553,911,089/279,783
  6. Step 6: Final answer
    x = 1,302,988.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.