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Finding the Third Proportional to 257,647.50 and 356,011.88

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Solution

The third proportional to 257,647.50 and 356,011.88 is: 491,929.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,647.50 : 356,011.88 = 356,011.88 : x
  2. Step 2: Convert to fraction form
    257,647.50/356,011.88 = 356,011.88/x
  3. Step 3: Cross multiply
    257,647.50x = 356,011.88 × 356,011.88
  4. Step 4: Simplify right side
    257,647.50x = 126,744,455,141.02
  5. Step 5: Solve for x
    x = 126,744,455,141.02/257,647.50
  6. Step 6: Final answer
    x = 491,929.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.