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Finding the Third Proportional to 255,772.69 and 391,425.75

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Solution

The third proportional to 255,772.69 and 391,425.75 is: 599,024.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,772.69 : 391,425.75 = 391,425.75 : x
  2. Step 2: Convert to fraction form
    255,772.69/391,425.75 = 391,425.75/x
  3. Step 3: Cross multiply
    255,772.69x = 391,425.75 × 391,425.75
  4. Step 4: Simplify right side
    255,772.69x = 153,214,117,763.06
  5. Step 5: Solve for x
    x = 153,214,117,763.06/255,772.69
  6. Step 6: Final answer
    x = 599,024.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.