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Finding the Third Proportional to 289,681.75 and 629,235.92

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Solution

The third proportional to 289,681.75 and 629,235.92 is: 1,366,802.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,681.75 : 629,235.92 = 629,235.92 : x
  2. Step 2: Convert to fraction form
    289,681.75/629,235.92 = 629,235.92/x
  3. Step 3: Cross multiply
    289,681.75x = 629,235.92 × 629,235.92
  4. Step 4: Simplify right side
    289,681.75x = 395,937,846,606.87
  5. Step 5: Solve for x
    x = 395,937,846,606.87/289,681.75
  6. Step 6: Final answer
    x = 1,366,802.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.