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Finding the Third Proportional to 554,546 and 828,123

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Solution

The third proportional to 554,546 and 828,123 is: 1,236,665.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,546 : 828,123 = 828,123 : x
  2. Step 2: Convert to fraction form
    554,546/828,123 = 828,123/x
  3. Step 3: Cross multiply
    554,546x = 828,123 × 828,123
  4. Step 4: Simplify right side
    554,546x = 685,787,703,129
  5. Step 5: Solve for x
    x = 685,787,703,129/554,546
  6. Step 6: Final answer
    x = 1,236,665.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.