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Finding the Third Proportional to 390,660 and 587,031

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Solution

The third proportional to 390,660 and 587,031 is: 882,110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,660 : 587,031 = 587,031 : x
  2. Step 2: Convert to fraction form
    390,660/587,031 = 587,031/x
  3. Step 3: Cross multiply
    390,660x = 587,031 × 587,031
  4. Step 4: Simplify right side
    390,660x = 344,605,394,961
  5. Step 5: Solve for x
    x = 344,605,394,961/390,660
  6. Step 6: Final answer
    x = 882,110.77

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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.