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Finding the Third Proportional to 276,838 and 603,703

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Solution

The third proportional to 276,838 and 603,703 is: 1,316,500.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,838 : 603,703 = 603,703 : x
  2. Step 2: Convert to fraction form
    276,838/603,703 = 603,703/x
  3. Step 3: Cross multiply
    276,838x = 603,703 × 603,703
  4. Step 4: Simplify right side
    276,838x = 364,457,312,209
  5. Step 5: Solve for x
    x = 364,457,312,209/276,838
  6. Step 6: Final answer
    x = 1,316,500.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.