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Finding the Third Proportional to 311,382 and 483,129

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Solution

The third proportional to 311,382 and 483,129 is: 749,605.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,382 : 483,129 = 483,129 : x
  2. Step 2: Convert to fraction form
    311,382/483,129 = 483,129/x
  3. Step 3: Cross multiply
    311,382x = 483,129 × 483,129
  4. Step 4: Simplify right side
    311,382x = 233,413,630,641
  5. Step 5: Solve for x
    x = 233,413,630,641/311,382
  6. Step 6: Final answer
    x = 749,605.41

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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.