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Finding the Third Proportional to 378,328.22 and 578,575.41

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Solution

The third proportional to 378,328.22 and 578,575.41 is: 884,812.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,328.22 : 578,575.41 = 578,575.41 : x
  2. Step 2: Convert to fraction form
    378,328.22/578,575.41 = 578,575.41/x
  3. Step 3: Cross multiply
    378,328.22x = 578,575.41 × 578,575.41
  4. Step 4: Simplify right side
    378,328.22x = 334,749,500,717.35
  5. Step 5: Solve for x
    x = 334,749,500,717.35/378,328.22
  6. Step 6: Final answer
    x = 884,812.40

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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.