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Finding the Third Proportional to 288,404 and 621,178

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Solution

The third proportional to 288,404 and 621,178 is: 1,337,922.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,404 : 621,178 = 621,178 : x
  2. Step 2: Convert to fraction form
    288,404/621,178 = 621,178/x
  3. Step 3: Cross multiply
    288,404x = 621,178 × 621,178
  4. Step 4: Simplify right side
    288,404x = 385,862,107,684
  5. Step 5: Solve for x
    x = 385,862,107,684/288,404
  6. Step 6: Final answer
    x = 1,337,922.18

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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.