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Finding the Third Proportional to 282,252 and 608,819

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Solution

The third proportional to 282,252 and 608,819 is: 1,313,225.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,252 : 608,819 = 608,819 : x
  2. Step 2: Convert to fraction form
    282,252/608,819 = 608,819/x
  3. Step 3: Cross multiply
    282,252x = 608,819 × 608,819
  4. Step 4: Simplify right side
    282,252x = 370,660,574,761
  5. Step 5: Solve for x
    x = 370,660,574,761/282,252
  6. Step 6: Final answer
    x = 1,313,225.68

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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.