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Finding the Third Proportional to 485,112 and 1,020,489

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Solution

The third proportional to 485,112 and 1,020,489 is: 2,146,716.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,112 : 1,020,489 = 1,020,489 : x
  2. Step 2: Convert to fraction form
    485,112/1,020,489 = 1,020,489/x
  3. Step 3: Cross multiply
    485,112x = 1,020,489 × 1,020,489
  4. Step 4: Simplify right side
    485,112x = 1,041,397,799,121
  5. Step 5: Solve for x
    x = 1,041,397,799,121/485,112
  6. Step 6: Final answer
    x = 2,146,716.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.