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Finding the Third Proportional to 256,239 and 365,020.50

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Solution

The third proportional to 256,239 and 365,020.50 is: 519,983.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,239 : 365,020.50 = 365,020.50 : x
  2. Step 2: Convert to fraction form
    256,239/365,020.50 = 365,020.50/x
  3. Step 3: Cross multiply
    256,239x = 365,020.50 × 365,020.50
  4. Step 4: Simplify right side
    256,239x = 133,239,965,420.25
  5. Step 5: Solve for x
    x = 133,239,965,420.25/256,239
  6. Step 6: Final answer
    x = 519,983.16

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.