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Finding the Third Proportional to 489,252 and 724,806

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Solution

The third proportional to 489,252 and 724,806 is: 1,073,769.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,252 : 724,806 = 724,806 : x
  2. Step 2: Convert to fraction form
    489,252/724,806 = 724,806/x
  3. Step 3: Cross multiply
    489,252x = 724,806 × 724,806
  4. Step 4: Simplify right side
    489,252x = 525,343,737,636
  5. Step 5: Solve for x
    x = 525,343,737,636/489,252
  6. Step 6: Final answer
    x = 1,073,769.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.