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Finding the Third Proportional to 354,300 and 538,011

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Solution

The third proportional to 354,300 and 538,011 is: 816,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,300 : 538,011 = 538,011 : x
  2. Step 2: Convert to fraction form
    354,300/538,011 = 538,011/x
  3. Step 3: Cross multiply
    354,300x = 538,011 × 538,011
  4. Step 4: Simplify right side
    354,300x = 289,455,836,121
  5. Step 5: Solve for x
    x = 289,455,836,121/354,300
  6. Step 6: Final answer
    x = 816,979.50

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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.