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Finding the Third Proportional to 443,349 and 669,681

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Solution

The third proportional to 443,349 and 669,681 is: 1,011,556.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,349 : 669,681 = 669,681 : x
  2. Step 2: Convert to fraction form
    443,349/669,681 = 669,681/x
  3. Step 3: Cross multiply
    443,349x = 669,681 × 669,681
  4. Step 4: Simplify right side
    443,349x = 448,472,641,761
  5. Step 5: Solve for x
    x = 448,472,641,761/443,349
  6. Step 6: Final answer
    x = 1,011,556.68

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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.