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Finding the Third Proportional to 414,904 and 910,128

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Solution

The third proportional to 414,904 and 910,128 is: 1,996,444.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,904 : 910,128 = 910,128 : x
  2. Step 2: Convert to fraction form
    414,904/910,128 = 910,128/x
  3. Step 3: Cross multiply
    414,904x = 910,128 × 910,128
  4. Step 4: Simplify right side
    414,904x = 828,332,976,384
  5. Step 5: Solve for x
    x = 828,332,976,384/414,904
  6. Step 6: Final answer
    x = 1,996,444.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.