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Finding the Third Proportional to 256,098 and 368,920.50

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Solution

The third proportional to 256,098 and 368,920.50 is: 531,446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,098 : 368,920.50 = 368,920.50 : x
  2. Step 2: Convert to fraction form
    256,098/368,920.50 = 368,920.50/x
  3. Step 3: Cross multiply
    256,098x = 368,920.50 × 368,920.50
  4. Step 4: Simplify right side
    256,098x = 136,102,335,320.25
  5. Step 5: Solve for x
    x = 136,102,335,320.25/256,098
  6. Step 6: Final answer
    x = 531,446.30

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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.