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Finding the Third Proportional to 454,555 and 677,890

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Solution

The third proportional to 454,555 and 677,890 is: 1,010,955.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,555 : 677,890 = 677,890 : x
  2. Step 2: Convert to fraction form
    454,555/677,890 = 677,890/x
  3. Step 3: Cross multiply
    454,555x = 677,890 × 677,890
  4. Step 4: Simplify right side
    454,555x = 459,534,852,100
  5. Step 5: Solve for x
    x = 459,534,852,100/454,555
  6. Step 6: Final answer
    x = 1,010,955.44

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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.