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Finding the Third Proportional to 390,069 and 620,631

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Solution

The third proportional to 390,069 and 620,631 is: 987,473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,069 : 620,631 = 620,631 : x
  2. Step 2: Convert to fraction form
    390,069/620,631 = 620,631/x
  3. Step 3: Cross multiply
    390,069x = 620,631 × 620,631
  4. Step 4: Simplify right side
    390,069x = 385,182,838,161
  5. Step 5: Solve for x
    x = 385,182,838,161/390,069
  6. Step 6: Final answer
    x = 987,473.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.