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Finding the Third Proportional to 208,953 and 313,426

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Solution

The third proportional to 208,953 and 313,426 is: 470,133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,953 : 313,426 = 313,426 : x
  2. Step 2: Convert to fraction form
    208,953/313,426 = 313,426/x
  3. Step 3: Cross multiply
    208,953x = 313,426 × 313,426
  4. Step 4: Simplify right side
    208,953x = 98,235,857,476
  5. Step 5: Solve for x
    x = 98,235,857,476/208,953
  6. Step 6: Final answer
    x = 470,133.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.