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Finding the Third Proportional to 362,070 and 782,406

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Solution

The third proportional to 362,070 and 782,406 is: 1,690,720.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,070 : 782,406 = 782,406 : x
  2. Step 2: Convert to fraction form
    362,070/782,406 = 782,406/x
  3. Step 3: Cross multiply
    362,070x = 782,406 × 782,406
  4. Step 4: Simplify right side
    362,070x = 612,159,148,836
  5. Step 5: Solve for x
    x = 612,159,148,836/362,070
  6. Step 6: Final answer
    x = 1,690,720.44

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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.