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Finding the Third Proportional to 488,992 and 748,018

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Solution

The third proportional to 488,992 and 748,018 is: 1,144,253.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,992 : 748,018 = 748,018 : x
  2. Step 2: Convert to fraction form
    488,992/748,018 = 748,018/x
  3. Step 3: Cross multiply
    488,992x = 748,018 × 748,018
  4. Step 4: Simplify right side
    488,992x = 559,530,928,324
  5. Step 5: Solve for x
    x = 559,530,928,324/488,992
  6. Step 6: Final answer
    x = 1,144,253.75

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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.