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Finding the Third Proportional to 659,576 and 991,007

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Solution

The third proportional to 659,576 and 991,007 is: 1,488,979.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,576 : 991,007 = 991,007 : x
  2. Step 2: Convert to fraction form
    659,576/991,007 = 991,007/x
  3. Step 3: Cross multiply
    659,576x = 991,007 × 991,007
  4. Step 4: Simplify right side
    659,576x = 982,094,874,049
  5. Step 5: Solve for x
    x = 982,094,874,049/659,576
  6. Step 6: Final answer
    x = 1,488,979.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.