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Finding the Third Proportional to 457,641 and 677,115

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Solution

The third proportional to 457,641 and 677,115 is: 1,001,843.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,641 : 677,115 = 677,115 : x
  2. Step 2: Convert to fraction form
    457,641/677,115 = 677,115/x
  3. Step 3: Cross multiply
    457,641x = 677,115 × 677,115
  4. Step 4: Simplify right side
    457,641x = 458,484,723,225
  5. Step 5: Solve for x
    x = 458,484,723,225/457,641
  6. Step 6: Final answer
    x = 1,001,843.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.