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Finding the Third Proportional to 66,454.59 and 143,980.88

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Solution

The third proportional to 66,454.59 and 143,980.88 is: 311,949.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,454.59 : 143,980.88 = 143,980.88 : x
  2. Step 2: Convert to fraction form
    66,454.59/143,980.88 = 143,980.88/x
  3. Step 3: Cross multiply
    66,454.59x = 143,980.88 × 143,980.88
  4. Step 4: Simplify right side
    66,454.59x = 20,730,492,365.77
  5. Step 5: Solve for x
    x = 20,730,492,365.77/66,454.59
  6. Step 6: Final answer
    x = 311,949.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.