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Finding the Third Proportional to 453,471 and 677,838

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Solution

The third proportional to 453,471 and 677,838 is: 1,013,216.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,471 : 677,838 = 677,838 : x
  2. Step 2: Convert to fraction form
    453,471/677,838 = 677,838/x
  3. Step 3: Cross multiply
    453,471x = 677,838 × 677,838
  4. Step 4: Simplify right side
    453,471x = 459,464,354,244
  5. Step 5: Solve for x
    x = 459,464,354,244/453,471
  6. Step 6: Final answer
    x = 1,013,216.62

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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.