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Finding the Third Proportional to 204,120 and 317,358

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Solution

The third proportional to 204,120 and 317,358 is: 493,416.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,120 : 317,358 = 317,358 : x
  2. Step 2: Convert to fraction form
    204,120/317,358 = 317,358/x
  3. Step 3: Cross multiply
    204,120x = 317,358 × 317,358
  4. Step 4: Simplify right side
    204,120x = 100,716,100,164
  5. Step 5: Solve for x
    x = 100,716,100,164/204,120
  6. Step 6: Final answer
    x = 493,416.13

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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.