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Finding the Third Proportional to 204,732 and 313,618.50

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Solution

The third proportional to 204,732 and 313,618.50 is: 480,416.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,732 : 313,618.50 = 313,618.50 : x
  2. Step 2: Convert to fraction form
    204,732/313,618.50 = 313,618.50/x
  3. Step 3: Cross multiply
    204,732x = 313,618.50 × 313,618.50
  4. Step 4: Simplify right side
    204,732x = 98,356,563,542.25
  5. Step 5: Solve for x
    x = 98,356,563,542.25/204,732
  6. Step 6: Final answer
    x = 480,416.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.