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Finding the Third Proportional to 31,177.50 and 66,786

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Solution

The third proportional to 31,177.50 and 66,786 is: 143,063.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,177.50 : 66,786 = 66,786 : x
  2. Step 2: Convert to fraction form
    31,177.50/66,786 = 66,786/x
  3. Step 3: Cross multiply
    31,177.50x = 66,786 × 66,786
  4. Step 4: Simplify right side
    31,177.50x = 4,460,369,796
  5. Step 5: Solve for x
    x = 4,460,369,796/31,177.50
  6. Step 6: Final answer
    x = 143,063.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.