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Finding the Third Proportional to 31,775.63 and 62,748

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Solution

The third proportional to 31,775.63 and 62,748 is: 123,909.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,775.63 : 62,748 = 62,748 : x
  2. Step 2: Convert to fraction form
    31,775.63/62,748 = 62,748/x
  3. Step 3: Cross multiply
    31,775.63x = 62,748 × 62,748
  4. Step 4: Simplify right side
    31,775.63x = 3,937,311,504
  5. Step 5: Solve for x
    x = 3,937,311,504/31,775.63
  6. Step 6: Final answer
    x = 123,909.81

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.