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Finding the Third Proportional to 208,740 and 450,822

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Solution

The third proportional to 208,740 and 450,822 is: 973,653.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,740 : 450,822 = 450,822 : x
  2. Step 2: Convert to fraction form
    208,740/450,822 = 450,822/x
  3. Step 3: Cross multiply
    208,740x = 450,822 × 450,822
  4. Step 4: Simplify right side
    208,740x = 203,240,475,684
  5. Step 5: Solve for x
    x = 203,240,475,684/208,740
  6. Step 6: Final answer
    x = 973,653.71

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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.