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Finding the Third Proportional to 142,719.75 and 313,688.25

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Solution

The third proportional to 142,719.75 and 313,688.25 is: 689,465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,719.75 : 313,688.25 = 313,688.25 : x
  2. Step 2: Convert to fraction form
    142,719.75/313,688.25 = 313,688.25/x
  3. Step 3: Cross multiply
    142,719.75x = 313,688.25 × 313,688.25
  4. Step 4: Simplify right side
    142,719.75x = 98,400,318,188.06
  5. Step 5: Solve for x
    x = 98,400,318,188.06/142,719.75
  6. Step 6: Final answer
    x = 689,465.32

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Why These Related Problems?

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