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Finding the Third Proportional to 255,139.88 and 558,758.25

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Solution

The third proportional to 255,139.88 and 558,758.25 is: 1,223,684.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,139.88 : 558,758.25 = 558,758.25 : x
  2. Step 2: Convert to fraction form
    255,139.88/558,758.25 = 558,758.25/x
  3. Step 3: Cross multiply
    255,139.88x = 558,758.25 × 558,758.25
  4. Step 4: Simplify right side
    255,139.88x = 312,210,781,943.06
  5. Step 5: Solve for x
    x = 312,210,781,943.06/255,139.88
  6. Step 6: Final answer
    x = 1,223,684.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.