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Finding the Third Proportional to 289,262 and 632,740

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Solution

The third proportional to 289,262 and 632,740 is: 1,384,073.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,262 : 632,740 = 632,740 : x
  2. Step 2: Convert to fraction form
    289,262/632,740 = 632,740/x
  3. Step 3: Cross multiply
    289,262x = 632,740 × 632,740
  4. Step 4: Simplify right side
    289,262x = 400,359,907,600
  5. Step 5: Solve for x
    x = 400,359,907,600/289,262
  6. Step 6: Final answer
    x = 1,384,073.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.