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Finding the Third Proportional to 489,362 and 724,947

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Solution

The third proportional to 489,362 and 724,947 is: 1,073,945.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,362 : 724,947 = 724,947 : x
  2. Step 2: Convert to fraction form
    489,362/724,947 = 724,947/x
  3. Step 3: Cross multiply
    489,362x = 724,947 × 724,947
  4. Step 4: Simplify right side
    489,362x = 525,548,152,809
  5. Step 5: Solve for x
    x = 525,548,152,809/489,362
  6. Step 6: Final answer
    x = 1,073,945.57

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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.