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Finding the Third Proportional to 143,628.19 and 312,429.66

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Solution

The third proportional to 143,628.19 and 312,429.66 is: 679,617.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,628.19 : 312,429.66 = 312,429.66 : x
  2. Step 2: Convert to fraction form
    143,628.19/312,429.66 = 312,429.66/x
  3. Step 3: Cross multiply
    143,628.19x = 312,429.66 × 312,429.66
  4. Step 4: Simplify right side
    143,628.19x = 97,612,290,104.49
  5. Step 5: Solve for x
    x = 97,612,290,104.49/143,628.19
  6. Step 6: Final answer
    x = 679,617.92

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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.