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Finding the Third Proportional to 389,516 and 616,252

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Solution

The third proportional to 389,516 and 616,252 is: 974,970.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,516 : 616,252 = 616,252 : x
  2. Step 2: Convert to fraction form
    389,516/616,252 = 616,252/x
  3. Step 3: Cross multiply
    389,516x = 616,252 × 616,252
  4. Step 4: Simplify right side
    389,516x = 379,766,527,504
  5. Step 5: Solve for x
    x = 379,766,527,504/389,516
  6. Step 6: Final answer
    x = 974,970.29

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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.