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Finding the Third Proportional to 354,664.50 and 487,701

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Solution

The third proportional to 354,664.50 and 487,701 is: 670,640.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,664.50 : 487,701 = 487,701 : x
  2. Step 2: Convert to fraction form
    354,664.50/487,701 = 487,701/x
  3. Step 3: Cross multiply
    354,664.50x = 487,701 × 487,701
  4. Step 4: Simplify right side
    354,664.50x = 237,852,265,401
  5. Step 5: Solve for x
    x = 237,852,265,401/354,664.50
  6. Step 6: Final answer
    x = 670,640.18

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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.