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Finding the Third Proportional to 356,829 and 769,361

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Solution

The third proportional to 356,829 and 769,361 is: 1,658,823.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,829 : 769,361 = 769,361 : x
  2. Step 2: Convert to fraction form
    356,829/769,361 = 769,361/x
  3. Step 3: Cross multiply
    356,829x = 769,361 × 769,361
  4. Step 4: Simplify right side
    356,829x = 591,916,348,321
  5. Step 5: Solve for x
    x = 591,916,348,321/356,829
  6. Step 6: Final answer
    x = 1,658,823.55

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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.