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Finding the Third Proportional to 309,276 and 478,880

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Solution

The third proportional to 309,276 and 478,880 is: 741,493.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,276 : 478,880 = 478,880 : x
  2. Step 2: Convert to fraction form
    309,276/478,880 = 478,880/x
  3. Step 3: Cross multiply
    309,276x = 478,880 × 478,880
  4. Step 4: Simplify right side
    309,276x = 229,326,054,400
  5. Step 5: Solve for x
    x = 229,326,054,400/309,276
  6. Step 6: Final answer
    x = 741,493.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.