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Finding the Third Proportional to 325,300 and 492,486

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Solution

The third proportional to 325,300 and 492,486 is: 745,596.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,300 : 492,486 = 492,486 : x
  2. Step 2: Convert to fraction form
    325,300/492,486 = 492,486/x
  3. Step 3: Cross multiply
    325,300x = 492,486 × 492,486
  4. Step 4: Simplify right side
    325,300x = 242,542,460,196
  5. Step 5: Solve for x
    x = 242,542,460,196/325,300
  6. Step 6: Final answer
    x = 745,596.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.