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Finding the Third Proportional to 349,609.50 and 512,851.50

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Solution

The third proportional to 349,609.50 and 512,851.50 is: 752,315.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,609.50 : 512,851.50 = 512,851.50 : x
  2. Step 2: Convert to fraction form
    349,609.50/512,851.50 = 512,851.50/x
  3. Step 3: Cross multiply
    349,609.50x = 512,851.50 × 512,851.50
  4. Step 4: Simplify right side
    349,609.50x = 263,016,661,052.25
  5. Step 5: Solve for x
    x = 263,016,661,052.25/349,609.50
  6. Step 6: Final answer
    x = 752,315.54

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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.