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Finding the Third Proportional to 255,820.78 and 391,528.69

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Solution

The third proportional to 255,820.78 and 391,528.69 is: 599,226.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,820.78 : 391,528.69 = 391,528.69 : x
  2. Step 2: Convert to fraction form
    255,820.78/391,528.69 = 391,528.69/x
  3. Step 3: Cross multiply
    255,820.78x = 391,528.69 × 391,528.69
  4. Step 4: Simplify right side
    255,820.78x = 153,294,713,135.47
  5. Step 5: Solve for x
    x = 153,294,713,135.47/255,820.78
  6. Step 6: Final answer
    x = 599,226.98

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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.