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Finding the Third Proportional to 143,069.63 and 308,282.63

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Solution

The third proportional to 143,069.63 and 308,282.63 is: 664,279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,069.63 : 308,282.63 = 308,282.63 : x
  2. Step 2: Convert to fraction form
    143,069.63/308,282.63 = 308,282.63/x
  3. Step 3: Cross multiply
    143,069.63x = 308,282.63 × 308,282.63
  4. Step 4: Simplify right side
    143,069.63x = 95,038,176,876.89
  5. Step 5: Solve for x
    x = 95,038,176,876.89/143,069.63
  6. Step 6: Final answer
    x = 664,279.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.