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Finding the Third Proportional to 443,069 and 971,911

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Solution

The third proportional to 443,069 and 971,911 is: 2,131,972.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,069 : 971,911 = 971,911 : x
  2. Step 2: Convert to fraction form
    443,069/971,911 = 971,911/x
  3. Step 3: Cross multiply
    443,069x = 971,911 × 971,911
  4. Step 4: Simplify right side
    443,069x = 944,610,991,921
  5. Step 5: Solve for x
    x = 944,610,991,921/443,069
  6. Step 6: Final answer
    x = 2,131,972.65

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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.