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Finding the Third Proportional to 256,057 and 387,622.50

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Solution

The third proportional to 256,057 and 387,622.50 is: 586,788.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,057 : 387,622.50 = 387,622.50 : x
  2. Step 2: Convert to fraction form
    256,057/387,622.50 = 387,622.50/x
  3. Step 3: Cross multiply
    256,057x = 387,622.50 × 387,622.50
  4. Step 4: Simplify right side
    256,057x = 150,251,202,506.25
  5. Step 5: Solve for x
    x = 150,251,202,506.25/256,057
  6. Step 6: Final answer
    x = 586,788.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.