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Finding the Third Proportional to 388,560 and 617,848

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Solution

The third proportional to 388,560 and 617,848 is: 982,438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,560 : 617,848 = 617,848 : x
  2. Step 2: Convert to fraction form
    388,560/617,848 = 617,848/x
  3. Step 3: Cross multiply
    388,560x = 617,848 × 617,848
  4. Step 4: Simplify right side
    388,560x = 381,736,151,104
  5. Step 5: Solve for x
    x = 381,736,151,104/388,560
  6. Step 6: Final answer
    x = 982,438.11

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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.