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Finding the Third Proportional to 349,120 and 533,830

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Solution

The third proportional to 349,120 and 533,830 is: 816,265.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,120 : 533,830 = 533,830 : x
  2. Step 2: Convert to fraction form
    349,120/533,830 = 533,830/x
  3. Step 3: Cross multiply
    349,120x = 533,830 × 533,830
  4. Step 4: Simplify right side
    349,120x = 284,974,468,900
  5. Step 5: Solve for x
    x = 284,974,468,900/349,120
  6. Step 6: Final answer
    x = 816,265.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.