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Finding the Third Proportional to 489,360 and 724,944

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Solution

The third proportional to 489,360 and 724,944 is: 1,073,941.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,360 : 724,944 = 724,944 : x
  2. Step 2: Convert to fraction form
    489,360/724,944 = 724,944/x
  3. Step 3: Cross multiply
    489,360x = 724,944 × 724,944
  4. Step 4: Simplify right side
    489,360x = 525,543,803,136
  5. Step 5: Solve for x
    x = 525,543,803,136/489,360
  6. Step 6: Final answer
    x = 1,073,941.07

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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.