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Finding the Third Proportional to 389,508 and 616,240

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Solution

The third proportional to 389,508 and 616,240 is: 974,952.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,508 : 616,240 = 616,240 : x
  2. Step 2: Convert to fraction form
    389,508/616,240 = 616,240/x
  3. Step 3: Cross multiply
    389,508x = 616,240 × 616,240
  4. Step 4: Simplify right side
    389,508x = 379,751,737,600
  5. Step 5: Solve for x
    x = 379,751,737,600/389,508
  6. Step 6: Final answer
    x = 974,952.34

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.