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Finding the Third Proportional to 121,244.63 and 285,807.38

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Solution

The third proportional to 121,244.63 and 285,807.38 is: 673,727.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,244.63 : 285,807.38 = 285,807.38 : x
  2. Step 2: Convert to fraction form
    121,244.63/285,807.38 = 285,807.38/x
  3. Step 3: Cross multiply
    121,244.63x = 285,807.38 × 285,807.38
  4. Step 4: Simplify right side
    121,244.63x = 81,685,855,604.39
  5. Step 5: Solve for x
    x = 81,685,855,604.39/121,244.63
  6. Step 6: Final answer
    x = 673,727.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.