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Finding the Third Proportional to 312,021 and 479,695.50

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Solution

The third proportional to 312,021 and 479,695.50 is: 737,475.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,021 : 479,695.50 = 479,695.50 : x
  2. Step 2: Convert to fraction form
    312,021/479,695.50 = 479,695.50/x
  3. Step 3: Cross multiply
    312,021x = 479,695.50 × 479,695.50
  4. Step 4: Simplify right side
    312,021x = 230,107,772,720.25
  5. Step 5: Solve for x
    x = 230,107,772,720.25/312,021
  6. Step 6: Final answer
    x = 737,475.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.