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Finding the Third Proportional to 389,623 and 587,013

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Solution

The third proportional to 389,623 and 587,013 is: 884,404.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,623 : 587,013 = 587,013 : x
  2. Step 2: Convert to fraction form
    389,623/587,013 = 587,013/x
  3. Step 3: Cross multiply
    389,623x = 587,013 × 587,013
  4. Step 4: Simplify right side
    389,623x = 344,584,262,169
  5. Step 5: Solve for x
    x = 344,584,262,169/389,623
  6. Step 6: Final answer
    x = 884,404.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.