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Finding the Third Proportional to 389,620 and 584,430

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Solution

The third proportional to 389,620 and 584,430 is: 876,645

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,620 : 584,430 = 584,430 : x
  2. Step 2: Convert to fraction form
    389,620/584,430 = 584,430/x
  3. Step 3: Cross multiply
    389,620x = 584,430 × 584,430
  4. Step 4: Simplify right side
    389,620x = 341,558,424,900
  5. Step 5: Solve for x
    x = 341,558,424,900/389,620
  6. Step 6: Final answer
    x = 876,645

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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.