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Finding the Third Proportional to 66,717 and 146,554.88

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Solution

The third proportional to 66,717 and 146,554.88 is: 321,931.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,717 : 146,554.88 = 146,554.88 : x
  2. Step 2: Convert to fraction form
    66,717/146,554.88 = 146,554.88/x
  3. Step 3: Cross multiply
    66,717x = 146,554.88 × 146,554.88
  4. Step 4: Simplify right side
    66,717x = 21,478,331,386.27
  5. Step 5: Solve for x
    x = 21,478,331,386.27/66,717
  6. Step 6: Final answer
    x = 321,931.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.