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Finding the Third Proportional to 492,085.13 and 628,792.88

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Solution

The third proportional to 492,085.13 and 628,792.88 is: 803,479.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,085.13 : 628,792.88 = 628,792.88 : x
  2. Step 2: Convert to fraction form
    492,085.13/628,792.88 = 628,792.88/x
  3. Step 3: Cross multiply
    492,085.13x = 628,792.88 × 628,792.88
  4. Step 4: Simplify right side
    492,085.13x = 395,380,479,650.77
  5. Step 5: Solve for x
    x = 395,380,479,650.77/492,085.13
  6. Step 6: Final answer
    x = 803,479.84

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.