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Finding the Third Proportional to 398,958 and 583,007

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Solution

The third proportional to 398,958 and 583,007 is: 851,962.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,958 : 583,007 = 583,007 : x
  2. Step 2: Convert to fraction form
    398,958/583,007 = 583,007/x
  3. Step 3: Cross multiply
    398,958x = 583,007 × 583,007
  4. Step 4: Simplify right side
    398,958x = 339,897,162,049
  5. Step 5: Solve for x
    x = 339,897,162,049/398,958
  6. Step 6: Final answer
    x = 851,962.27

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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.