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Finding the Third Proportional to 380,928 and 829,584

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Solution

The third proportional to 380,928 and 829,584 is: 1,806,665.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,928 : 829,584 = 829,584 : x
  2. Step 2: Convert to fraction form
    380,928/829,584 = 829,584/x
  3. Step 3: Cross multiply
    380,928x = 829,584 × 829,584
  4. Step 4: Simplify right side
    380,928x = 688,209,613,056
  5. Step 5: Solve for x
    x = 688,209,613,056/380,928
  6. Step 6: Final answer
    x = 1,806,665.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.