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Finding the Third Proportional to 309,372 and 492,276

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Solution

The third proportional to 309,372 and 492,276 is: 783,314.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,372 : 492,276 = 492,276 : x
  2. Step 2: Convert to fraction form
    309,372/492,276 = 492,276/x
  3. Step 3: Cross multiply
    309,372x = 492,276 × 492,276
  4. Step 4: Simplify right side
    309,372x = 242,335,660,176
  5. Step 5: Solve for x
    x = 242,335,660,176/309,372
  6. Step 6: Final answer
    x = 783,314.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.