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Finding the Third Proportional to 354,297.50 and 538,007

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Solution

The third proportional to 354,297.50 and 538,007 is: 816,973.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,297.50 : 538,007 = 538,007 : x
  2. Step 2: Convert to fraction form
    354,297.50/538,007 = 538,007/x
  3. Step 3: Cross multiply
    354,297.50x = 538,007 × 538,007
  4. Step 4: Simplify right side
    354,297.50x = 289,451,532,049
  5. Step 5: Solve for x
    x = 289,451,532,049/354,297.50
  6. Step 6: Final answer
    x = 816,973.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.