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Finding the Third Proportional to 356,861.25 and 521,048.25

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Solution

The third proportional to 356,861.25 and 521,048.25 is: 760,775.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,861.25 : 521,048.25 = 521,048.25 : x
  2. Step 2: Convert to fraction form
    356,861.25/521,048.25 = 521,048.25/x
  3. Step 3: Cross multiply
    356,861.25x = 521,048.25 × 521,048.25
  4. Step 4: Simplify right side
    356,861.25x = 271,491,278,828.06
  5. Step 5: Solve for x
    x = 271,491,278,828.06/356,861.25
  6. Step 6: Final answer
    x = 760,775.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.