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Finding the Third Proportional to 255,582.50 and 386,955.75

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Solution

The third proportional to 255,582.50 and 386,955.75 is: 585,856.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,582.50 : 386,955.75 = 386,955.75 : x
  2. Step 2: Convert to fraction form
    255,582.50/386,955.75 = 386,955.75/x
  3. Step 3: Cross multiply
    255,582.50x = 386,955.75 × 386,955.75
  4. Step 4: Simplify right side
    255,582.50x = 149,734,752,458.06
  5. Step 5: Solve for x
    x = 149,734,752,458.06/255,582.50
  6. Step 6: Final answer
    x = 585,856.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.