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Finding the Third Proportional to 142,792.88 and 313,612.59

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Solution

The third proportional to 142,792.88 and 313,612.59 is: 688,779.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,792.88 : 313,612.59 = 313,612.59 : x
  2. Step 2: Convert to fraction form
    142,792.88/313,612.59 = 313,612.59/x
  3. Step 3: Cross multiply
    142,792.88x = 313,612.59 × 313,612.59
  4. Step 4: Simplify right side
    142,792.88x = 98,352,858,958.60
  5. Step 5: Solve for x
    x = 98,352,858,958.60/142,792.88
  6. Step 6: Final answer
    x = 688,779.88

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.