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Finding the Third Proportional to 328,078 and 492,118

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Solution

The third proportional to 328,078 and 492,118 is: 738,178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,078 : 492,118 = 492,118 : x
  2. Step 2: Convert to fraction form
    328,078/492,118 = 492,118/x
  3. Step 3: Cross multiply
    328,078x = 492,118 × 492,118
  4. Step 4: Simplify right side
    328,078x = 242,180,125,924
  5. Step 5: Solve for x
    x = 242,180,125,924/328,078
  6. Step 6: Final answer
    x = 738,178.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.