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Finding the Third Proportional to 354,677 and 487,717

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Solution

The third proportional to 354,677 and 487,717 is: 670,660.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,677 : 487,717 = 487,717 : x
  2. Step 2: Convert to fraction form
    354,677/487,717 = 487,717/x
  3. Step 3: Cross multiply
    354,677x = 487,717 × 487,717
  4. Step 4: Simplify right side
    354,677x = 237,867,872,089
  5. Step 5: Solve for x
    x = 237,867,872,089/354,677
  6. Step 6: Final answer
    x = 670,660.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.