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Finding the Third Proportional to 255,727.13 and 378,634.50

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Solution

The third proportional to 255,727.13 and 378,634.50 is: 560,613.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,727.13 : 378,634.50 = 378,634.50 : x
  2. Step 2: Convert to fraction form
    255,727.13/378,634.50 = 378,634.50/x
  3. Step 3: Cross multiply
    255,727.13x = 378,634.50 × 378,634.50
  4. Step 4: Simplify right side
    255,727.13x = 143,364,084,590.25
  5. Step 5: Solve for x
    x = 143,364,084,590.25/255,727.13
  6. Step 6: Final answer
    x = 560,613.52

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.