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Finding the Third Proportional to 375,128 and 814,336

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Solution

The third proportional to 375,128 and 814,336 is: 1,767,778.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,128 : 814,336 = 814,336 : x
  2. Step 2: Convert to fraction form
    375,128/814,336 = 814,336/x
  3. Step 3: Cross multiply
    375,128x = 814,336 × 814,336
  4. Step 4: Simplify right side
    375,128x = 663,143,120,896
  5. Step 5: Solve for x
    x = 663,143,120,896/375,128
  6. Step 6: Final answer
    x = 1,767,778.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.