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Finding the Third Proportional to 329,464 and 492,720

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Solution

The third proportional to 329,464 and 492,720 is: 736,872.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,464 : 492,720 = 492,720 : x
  2. Step 2: Convert to fraction form
    329,464/492,720 = 492,720/x
  3. Step 3: Cross multiply
    329,464x = 492,720 × 492,720
  4. Step 4: Simplify right side
    329,464x = 242,772,998,400
  5. Step 5: Solve for x
    x = 242,772,998,400/329,464
  6. Step 6: Final answer
    x = 736,872.61

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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.