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Finding the Third Proportional to 389,234 and 586,635

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Solution

The third proportional to 389,234 and 586,635 is: 884,148.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,234 : 586,635 = 586,635 : x
  2. Step 2: Convert to fraction form
    389,234/586,635 = 586,635/x
  3. Step 3: Cross multiply
    389,234x = 586,635 × 586,635
  4. Step 4: Simplify right side
    389,234x = 344,140,623,225
  5. Step 5: Solve for x
    x = 344,140,623,225/389,234
  6. Step 6: Final answer
    x = 884,148.41

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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.