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Finding the Third Proportional to 360,642 and 530,757

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Solution

The third proportional to 360,642 and 530,757 is: 781,115.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,642 : 530,757 = 530,757 : x
  2. Step 2: Convert to fraction form
    360,642/530,757 = 530,757/x
  3. Step 3: Cross multiply
    360,642x = 530,757 × 530,757
  4. Step 4: Simplify right side
    360,642x = 281,702,993,049
  5. Step 5: Solve for x
    x = 281,702,993,049/360,642
  6. Step 6: Final answer
    x = 781,115.33

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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.