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Finding the Third Proportional to 255,963.38 and 558,582.75

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Solution

The third proportional to 255,963.38 and 558,582.75 is: 1,218,981.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,963.38 : 558,582.75 = 558,582.75 : x
  2. Step 2: Convert to fraction form
    255,963.38/558,582.75 = 558,582.75/x
  3. Step 3: Cross multiply
    255,963.38x = 558,582.75 × 558,582.75
  4. Step 4: Simplify right side
    255,963.38x = 312,014,688,597.56
  5. Step 5: Solve for x
    x = 312,014,688,597.56/255,963.38
  6. Step 6: Final answer
    x = 1,218,981.77

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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.