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Finding the Third Proportional to 646,012 and 991,611

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Solution

The third proportional to 646,012 and 991,611 is: 1,522,096.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,012 : 991,611 = 991,611 : x
  2. Step 2: Convert to fraction form
    646,012/991,611 = 991,611/x
  3. Step 3: Cross multiply
    646,012x = 991,611 × 991,611
  4. Step 4: Simplify right side
    646,012x = 983,292,375,321
  5. Step 5: Solve for x
    x = 983,292,375,321/646,012
  6. Step 6: Final answer
    x = 1,522,096.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.