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Finding the Third Proportional to 282,344 and 620,660

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Solution

The third proportional to 282,344 and 620,660 is: 1,364,359.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,344 : 620,660 = 620,660 : x
  2. Step 2: Convert to fraction form
    282,344/620,660 = 620,660/x
  3. Step 3: Cross multiply
    282,344x = 620,660 × 620,660
  4. Step 4: Simplify right side
    282,344x = 385,218,835,600
  5. Step 5: Solve for x
    x = 385,218,835,600/282,344
  6. Step 6: Final answer
    x = 1,364,359.91

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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.