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Finding the Third Proportional to 7,420,457 and 11,189,080

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Solution

The third proportional to 7,420,457 and 11,189,080 is: 16,871,671.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,420,457 : 11,189,080 = 11,189,080 : x
  2. Step 2: Convert to fraction form
    7,420,457/11,189,080 = 11,189,080/x
  3. Step 3: Cross multiply
    7,420,457x = 11,189,080 × 11,189,080
  4. Step 4: Simplify right side
    7,420,457x = 125,195,511,246,400
  5. Step 5: Solve for x
    x = 125,195,511,246,400/7,420,457
  6. Step 6: Final answer
    x = 16,871,671.28

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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.