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Finding the Third Proportional to 268,953.75 and 633,987

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Solution

The third proportional to 268,953.75 and 633,987 is: 1,494,455.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,953.75 : 633,987 = 633,987 : x
  2. Step 2: Convert to fraction form
    268,953.75/633,987 = 633,987/x
  3. Step 3: Cross multiply
    268,953.75x = 633,987 × 633,987
  4. Step 4: Simplify right side
    268,953.75x = 401,939,516,169
  5. Step 5: Solve for x
    x = 401,939,516,169/268,953.75
  6. Step 6: Final answer
    x = 1,494,455.89

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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.