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Finding the Third Proportional to 395,424 and 617,472

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Solution

The third proportional to 395,424 and 617,472 is: 964,209.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,424 : 617,472 = 617,472 : x
  2. Step 2: Convert to fraction form
    395,424/617,472 = 617,472/x
  3. Step 3: Cross multiply
    395,424x = 617,472 × 617,472
  4. Step 4: Simplify right side
    395,424x = 381,271,670,784
  5. Step 5: Solve for x
    x = 381,271,670,784/395,424
  6. Step 6: Final answer
    x = 964,209.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.