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Finding the Third Proportional to 66,953.25 and 145,924.88

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Solution

The third proportional to 66,953.25 and 145,924.88 is: 318,043.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,953.25 : 145,924.88 = 145,924.88 : x
  2. Step 2: Convert to fraction form
    66,953.25/145,924.88 = 145,924.88/x
  3. Step 3: Cross multiply
    66,953.25x = 145,924.88 × 145,924.88
  4. Step 4: Simplify right side
    66,953.25x = 21,294,069,143.77
  5. Step 5: Solve for x
    x = 21,294,069,143.77/66,953.25
  6. Step 6: Final answer
    x = 318,043.85

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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.