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Finding the Third Proportional to 256,121 and 375,873

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Solution

The third proportional to 256,121 and 375,873 is: 551,616.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,121 : 375,873 = 375,873 : x
  2. Step 2: Convert to fraction form
    256,121/375,873 = 375,873/x
  3. Step 3: Cross multiply
    256,121x = 375,873 × 375,873
  4. Step 4: Simplify right side
    256,121x = 141,280,512,129
  5. Step 5: Solve for x
    x = 141,280,512,129/256,121
  6. Step 6: Final answer
    x = 551,616.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.