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Finding the Third Proportional to 288,416 and 621,205

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Solution

The third proportional to 288,416 and 621,205 is: 1,337,982.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,416 : 621,205 = 621,205 : x
  2. Step 2: Convert to fraction form
    288,416/621,205 = 621,205/x
  3. Step 3: Cross multiply
    288,416x = 621,205 × 621,205
  4. Step 4: Simplify right side
    288,416x = 385,895,652,025
  5. Step 5: Solve for x
    x = 385,895,652,025/288,416
  6. Step 6: Final answer
    x = 1,337,982.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.