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Finding the Third Proportional to 349,775.72 and 513,178.03

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Solution

The third proportional to 349,775.72 and 513,178.03 is: 752,915.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,775.72 : 513,178.03 = 513,178.03 : x
  2. Step 2: Convert to fraction form
    349,775.72/513,178.03 = 513,178.03/x
  3. Step 3: Cross multiply
    349,775.72x = 513,178.03 × 513,178.03
  4. Step 4: Simplify right side
    349,775.72x = 263,351,691,757.63
  5. Step 5: Solve for x
    x = 263,351,691,757.63/349,775.72
  6. Step 6: Final answer
    x = 752,915.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.