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Finding the Third Proportional to 384,140 and 829,828

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Solution

The third proportional to 384,140 and 829,828 is: 1,792,613.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,140 : 829,828 = 829,828 : x
  2. Step 2: Convert to fraction form
    384,140/829,828 = 829,828/x
  3. Step 3: Cross multiply
    384,140x = 829,828 × 829,828
  4. Step 4: Simplify right side
    384,140x = 688,614,509,584
  5. Step 5: Solve for x
    x = 688,614,509,584/384,140
  6. Step 6: Final answer
    x = 1,792,613.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.