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Finding the Third Proportional to 395,576 and 612,136

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Solution

The third proportional to 395,576 and 612,136 is: 947,252.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,576 : 612,136 = 612,136 : x
  2. Step 2: Convert to fraction form
    395,576/612,136 = 612,136/x
  3. Step 3: Cross multiply
    395,576x = 612,136 × 612,136
  4. Step 4: Simplify right side
    395,576x = 374,710,482,496
  5. Step 5: Solve for x
    x = 374,710,482,496/395,576
  6. Step 6: Final answer
    x = 947,252.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.