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Finding the Third Proportional to 378,708.75 and 569,034

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Solution

The third proportional to 378,708.75 and 569,034 is: 855,009.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,708.75 : 569,034 = 569,034 : x
  2. Step 2: Convert to fraction form
    378,708.75/569,034 = 569,034/x
  3. Step 3: Cross multiply
    378,708.75x = 569,034 × 569,034
  4. Step 4: Simplify right side
    378,708.75x = 323,799,693,156
  5. Step 5: Solve for x
    x = 323,799,693,156/378,708.75
  6. Step 6: Final answer
    x = 855,009.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.