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Finding the Third Proportional to 489,360 and 748,668

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Solution

The third proportional to 489,360 and 748,668 is: 1,145,381.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,360 : 748,668 = 748,668 : x
  2. Step 2: Convert to fraction form
    489,360/748,668 = 748,668/x
  3. Step 3: Cross multiply
    489,360x = 748,668 × 748,668
  4. Step 4: Simplify right side
    489,360x = 560,503,774,224
  5. Step 5: Solve for x
    x = 560,503,774,224/489,360
  6. Step 6: Final answer
    x = 1,145,381.26

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.