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Finding the Third Proportional to 256,840.88 and 409,044.94

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Solution

The third proportional to 256,840.88 and 409,044.94 is: 651,445.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,840.88 : 409,044.94 = 409,044.94 : x
  2. Step 2: Convert to fraction form
    256,840.88/409,044.94 = 409,044.94/x
  3. Step 3: Cross multiply
    256,840.88x = 409,044.94 × 409,044.94
  4. Step 4: Simplify right side
    256,840.88x = 167,317,760,894.38
  5. Step 5: Solve for x
    x = 167,317,760,894.38/256,840.88
  6. Step 6: Final answer
    x = 651,445.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.