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Finding the Third Proportional to 456,620 and 991,050

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Solution

The third proportional to 456,620 and 991,050 is: 2,150,979.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,620 : 991,050 = 991,050 : x
  2. Step 2: Convert to fraction form
    456,620/991,050 = 991,050/x
  3. Step 3: Cross multiply
    456,620x = 991,050 × 991,050
  4. Step 4: Simplify right side
    456,620x = 982,180,102,500
  5. Step 5: Solve for x
    x = 982,180,102,500/456,620
  6. Step 6: Final answer
    x = 2,150,979.16

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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.