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Finding the Third Proportional to 255,965.63 and 558,587.25

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Solution

The third proportional to 255,965.63 and 558,587.25 is: 1,218,990.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,965.63 : 558,587.25 = 558,587.25 : x
  2. Step 2: Convert to fraction form
    255,965.63/558,587.25 = 558,587.25/x
  3. Step 3: Cross multiply
    255,965.63x = 558,587.25 × 558,587.25
  4. Step 4: Simplify right side
    255,965.63x = 312,019,715,862.56
  5. Step 5: Solve for x
    x = 312,019,715,862.56/255,965.63
  6. Step 6: Final answer
    x = 1,218,990.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.