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Finding the Third Proportional to 349,717 and 513,100

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Solution

The third proportional to 349,717 and 513,100 is: 752,813.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,717 : 513,100 = 513,100 : x
  2. Step 2: Convert to fraction form
    349,717/513,100 = 513,100/x
  3. Step 3: Cross multiply
    349,717x = 513,100 × 513,100
  4. Step 4: Simplify right side
    349,717x = 263,271,610,000
  5. Step 5: Solve for x
    x = 263,271,610,000/349,717
  6. Step 6: Final answer
    x = 752,813.30

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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.