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Finding the Third Proportional to 354,673 and 487,713

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Solution

The third proportional to 354,673 and 487,713 is: 670,657.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,673 : 487,713 = 487,713 : x
  2. Step 2: Convert to fraction form
    354,673/487,713 = 487,713/x
  3. Step 3: Cross multiply
    354,673x = 487,713 × 487,713
  4. Step 4: Simplify right side
    354,673x = 237,863,970,369
  5. Step 5: Solve for x
    x = 237,863,970,369/354,673
  6. Step 6: Final answer
    x = 670,657.11

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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.