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Finding the Third Proportional to 352,992 and 769,440

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Solution

The third proportional to 352,992 and 769,440 is: 1,677,199.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,992 : 769,440 = 769,440 : x
  2. Step 2: Convert to fraction form
    352,992/769,440 = 769,440/x
  3. Step 3: Cross multiply
    352,992x = 769,440 × 769,440
  4. Step 4: Simplify right side
    352,992x = 592,037,913,600
  5. Step 5: Solve for x
    x = 592,037,913,600/352,992
  6. Step 6: Final answer
    x = 1,677,199.24

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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.