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Finding the Third Proportional to 456,962 and 991,684

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Solution

The third proportional to 456,962 and 991,684 is: 2,152,120.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,962 : 991,684 = 991,684 : x
  2. Step 2: Convert to fraction form
    456,962/991,684 = 991,684/x
  3. Step 3: Cross multiply
    456,962x = 991,684 × 991,684
  4. Step 4: Simplify right side
    456,962x = 983,437,155,856
  5. Step 5: Solve for x
    x = 983,437,155,856/456,962
  6. Step 6: Final answer
    x = 2,152,120.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.