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Finding the Third Proportional to 143,619.75 and 312,427.13

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Solution

The third proportional to 143,619.75 and 312,427.13 is: 679,646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,619.75 : 312,427.13 = 312,427.13 : x
  2. Step 2: Convert to fraction form
    143,619.75/312,427.13 = 312,427.13/x
  3. Step 3: Cross multiply
    143,619.75x = 312,427.13 × 312,427.13
  4. Step 4: Simplify right side
    143,619.75x = 97,610,708,435.77
  5. Step 5: Solve for x
    x = 97,610,708,435.77/143,619.75
  6. Step 6: Final answer
    x = 679,646.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.