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Finding the Third Proportional to 393,265.13 and 434,818.13

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Solution

The third proportional to 393,265.13 and 434,818.13 is: 480,761.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,265.13 : 434,818.13 = 434,818.13 : x
  2. Step 2: Convert to fraction form
    393,265.13/434,818.13 = 434,818.13/x
  3. Step 3: Cross multiply
    393,265.13x = 434,818.13 × 434,818.13
  4. Step 4: Simplify right side
    393,265.13x = 189,066,801,828.52
  5. Step 5: Solve for x
    x = 189,066,801,828.52/393,265.13
  6. Step 6: Final answer
    x = 480,761.68

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.