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Finding the Third Proportional to 256,063 and 368,842

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Solution

The third proportional to 256,063 and 368,842 is: 531,292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,063 : 368,842 = 368,842 : x
  2. Step 2: Convert to fraction form
    256,063/368,842 = 368,842/x
  3. Step 3: Cross multiply
    256,063x = 368,842 × 368,842
  4. Step 4: Simplify right side
    256,063x = 136,044,420,964
  5. Step 5: Solve for x
    x = 136,044,420,964/256,063
  6. Step 6: Final answer
    x = 531,292.77

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.