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Finding the Third Proportional to 456,652 and 991,118

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Solution

The third proportional to 456,652 and 991,118 is: 2,151,123.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,652 : 991,118 = 991,118 : x
  2. Step 2: Convert to fraction form
    456,652/991,118 = 991,118/x
  3. Step 3: Cross multiply
    456,652x = 991,118 × 991,118
  4. Step 4: Simplify right side
    456,652x = 982,314,889,924
  5. Step 5: Solve for x
    x = 982,314,889,924/456,652
  6. Step 6: Final answer
    x = 2,151,123.59

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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.