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Finding the Third Proportional to 388,598 and 617,905

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Solution

The third proportional to 388,598 and 617,905 is: 982,523.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,598 : 617,905 = 617,905 : x
  2. Step 2: Convert to fraction form
    388,598/617,905 = 617,905/x
  3. Step 3: Cross multiply
    388,598x = 617,905 × 617,905
  4. Step 4: Simplify right side
    388,598x = 381,806,589,025
  5. Step 5: Solve for x
    x = 381,806,589,025/388,598
  6. Step 6: Final answer
    x = 982,523.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.