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Finding the Third Proportional to 489,260 and 724,818

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Solution

The third proportional to 489,260 and 724,818 is: 1,073,787.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,260 : 724,818 = 724,818 : x
  2. Step 2: Convert to fraction form
    489,260/724,818 = 724,818/x
  3. Step 3: Cross multiply
    489,260x = 724,818 × 724,818
  4. Step 4: Simplify right side
    489,260x = 525,361,133,124
  5. Step 5: Solve for x
    x = 525,361,133,124/489,260
  6. Step 6: Final answer
    x = 1,073,787.22

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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.