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Finding the Third Proportional to 123,940.13 and 255,215.81

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Solution

The third proportional to 123,940.13 and 255,215.81 is: 525,536.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,940.13 : 255,215.81 = 255,215.81 : x
  2. Step 2: Convert to fraction form
    123,940.13/255,215.81 = 255,215.81/x
  3. Step 3: Cross multiply
    123,940.13x = 255,215.81 × 255,215.81
  4. Step 4: Simplify right side
    123,940.13x = 65,135,110,950.04
  5. Step 5: Solve for x
    x = 65,135,110,950.04/123,940.13
  6. Step 6: Final answer
    x = 525,536.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.