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Finding the Third Proportional to 282,538 and 619,947

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Solution

The third proportional to 282,538 and 619,947 is: 1,360,292.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,538 : 619,947 = 619,947 : x
  2. Step 2: Convert to fraction form
    282,538/619,947 = 619,947/x
  3. Step 3: Cross multiply
    282,538x = 619,947 × 619,947
  4. Step 4: Simplify right side
    282,538x = 384,334,282,809
  5. Step 5: Solve for x
    x = 384,334,282,809/282,538
  6. Step 6: Final answer
    x = 1,360,292.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.