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Finding the Third Proportional to 489,384 and 644,940

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Solution

The third proportional to 489,384 and 644,940 is: 849,941.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,384 : 644,940 = 644,940 : x
  2. Step 2: Convert to fraction form
    489,384/644,940 = 644,940/x
  3. Step 3: Cross multiply
    489,384x = 644,940 × 644,940
  4. Step 4: Simplify right side
    489,384x = 415,947,603,600
  5. Step 5: Solve for x
    x = 415,947,603,600/489,384
  6. Step 6: Final answer
    x = 849,941.16

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.