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Finding the Third Proportional to 31,203 and 67,660.50

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Solution

The third proportional to 31,203 and 67,660.50 is: 146,714.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,203 : 67,660.50 = 67,660.50 : x
  2. Step 2: Convert to fraction form
    31,203/67,660.50 = 67,660.50/x
  3. Step 3: Cross multiply
    31,203x = 67,660.50 × 67,660.50
  4. Step 4: Simplify right side
    31,203x = 4,577,943,260.25
  5. Step 5: Solve for x
    x = 4,577,943,260.25/31,203
  6. Step 6: Final answer
    x = 146,714.84

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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.