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Finding the Third Proportional to 480,910 and 1,026,148

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Solution

The third proportional to 480,910 and 1,026,148 is: 2,189,556.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,910 : 1,026,148 = 1,026,148 : x
  2. Step 2: Convert to fraction form
    480,910/1,026,148 = 1,026,148/x
  3. Step 3: Cross multiply
    480,910x = 1,026,148 × 1,026,148
  4. Step 4: Simplify right side
    480,910x = 1,052,979,717,904
  5. Step 5: Solve for x
    x = 1,052,979,717,904/480,910
  6. Step 6: Final answer
    x = 2,189,556.71

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.