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Finding the Third Proportional to 288,818 and 644,043

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Solution

The third proportional to 288,818 and 644,043 is: 1,436,168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,818 : 644,043 = 644,043 : x
  2. Step 2: Convert to fraction form
    288,818/644,043 = 644,043/x
  3. Step 3: Cross multiply
    288,818x = 644,043 × 644,043
  4. Step 4: Simplify right side
    288,818x = 414,791,385,849
  5. Step 5: Solve for x
    x = 414,791,385,849/288,818
  6. Step 6: Final answer
    x = 1,436,168.75

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.