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Finding the Third Proportional to 443,340 and 669,666

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Solution

The third proportional to 443,340 and 669,666 is: 1,011,531.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,340 : 669,666 = 669,666 : x
  2. Step 2: Convert to fraction form
    443,340/669,666 = 669,666/x
  3. Step 3: Cross multiply
    443,340x = 669,666 × 669,666
  4. Step 4: Simplify right side
    443,340x = 448,452,551,556
  5. Step 5: Solve for x
    x = 448,452,551,556/443,340
  6. Step 6: Final answer
    x = 1,011,531.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.