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Finding the Third Proportional to 206,460 and 317,440.69

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Solution

The third proportional to 206,460 and 317,440.69 is: 488,078.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,460 : 317,440.69 = 317,440.69 : x
  2. Step 2: Convert to fraction form
    206,460/317,440.69 = 317,440.69/x
  3. Step 3: Cross multiply
    206,460x = 317,440.69 × 317,440.69
  4. Step 4: Simplify right side
    206,460x = 100,768,590,080.47
  5. Step 5: Solve for x
    x = 100,768,590,080.47/206,460
  6. Step 6: Final answer
    x = 488,078.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.