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Finding the Third Proportional to 349,128 and 530,172

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Solution

The third proportional to 349,128 and 530,172 is: 805,098.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,128 : 530,172 = 530,172 : x
  2. Step 2: Convert to fraction form
    349,128/530,172 = 530,172/x
  3. Step 3: Cross multiply
    349,128x = 530,172 × 530,172
  4. Step 4: Simplify right side
    349,128x = 281,082,349,584
  5. Step 5: Solve for x
    x = 281,082,349,584/349,128
  6. Step 6: Final answer
    x = 805,098.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.