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Finding the Third Proportional to 200,256 and 307,920

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Solution

The third proportional to 200,256 and 307,920 is: 473,467.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,256 : 307,920 = 307,920 : x
  2. Step 2: Convert to fraction form
    200,256/307,920 = 307,920/x
  3. Step 3: Cross multiply
    200,256x = 307,920 × 307,920
  4. Step 4: Simplify right side
    200,256x = 94,814,726,400
  5. Step 5: Solve for x
    x = 94,814,726,400/200,256
  6. Step 6: Final answer
    x = 473,467.59

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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.