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Finding the Third Proportional to 66,304.50 and 143,200.50

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Solution

The third proportional to 66,304.50 and 143,200.50 is: 309,275.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,304.50 : 143,200.50 = 143,200.50 : x
  2. Step 2: Convert to fraction form
    66,304.50/143,200.50 = 143,200.50/x
  3. Step 3: Cross multiply
    66,304.50x = 143,200.50 × 143,200.50
  4. Step 4: Simplify right side
    66,304.50x = 20,506,383,200.25
  5. Step 5: Solve for x
    x = 20,506,383,200.25/66,304.50
  6. Step 6: Final answer
    x = 309,275.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.