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Finding the Third Proportional to 256,716 and 399,577.50

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Solution

The third proportional to 256,716 and 399,577.50 is: 621,940.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,716 : 399,577.50 = 399,577.50 : x
  2. Step 2: Convert to fraction form
    256,716/399,577.50 = 399,577.50/x
  3. Step 3: Cross multiply
    256,716x = 399,577.50 × 399,577.50
  4. Step 4: Simplify right side
    256,716x = 159,662,178,506.25
  5. Step 5: Solve for x
    x = 159,662,178,506.25/256,716
  6. Step 6: Final answer
    x = 621,940.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.