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Finding the Third Proportional to 378,806.63 and 841,689

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Solution

The third proportional to 378,806.63 and 841,689 is: 1,870,190.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,806.63 : 841,689 = 841,689 : x
  2. Step 2: Convert to fraction form
    378,806.63/841,689 = 841,689/x
  3. Step 3: Cross multiply
    378,806.63x = 841,689 × 841,689
  4. Step 4: Simplify right side
    378,806.63x = 708,440,372,721
  5. Step 5: Solve for x
    x = 708,440,372,721/378,806.63
  6. Step 6: Final answer
    x = 1,870,190.03

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.