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Finding the Third Proportional to 362,076 and 782,418

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Solution

The third proportional to 362,076 and 782,418 is: 1,690,744.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,076 : 782,418 = 782,418 : x
  2. Step 2: Convert to fraction form
    362,076/782,418 = 782,418/x
  3. Step 3: Cross multiply
    362,076x = 782,418 × 782,418
  4. Step 4: Simplify right side
    362,076x = 612,177,926,724
  5. Step 5: Solve for x
    x = 612,177,926,724/362,076
  6. Step 6: Final answer
    x = 1,690,744.28

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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.