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Finding the Third Proportional to 282,405 and 620,783

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Solution

The third proportional to 282,405 and 620,783 is: 1,364,605.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,405 : 620,783 = 620,783 : x
  2. Step 2: Convert to fraction form
    282,405/620,783 = 620,783/x
  3. Step 3: Cross multiply
    282,405x = 620,783 × 620,783
  4. Step 4: Simplify right side
    282,405x = 385,371,533,089
  5. Step 5: Solve for x
    x = 385,371,533,089/282,405
  6. Step 6: Final answer
    x = 1,364,605.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.