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Finding the Third Proportional to 238,651 and 514,642

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Solution

The third proportional to 238,651 and 514,642 is: 1,109,806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,651 : 514,642 = 514,642 : x
  2. Step 2: Convert to fraction form
    238,651/514,642 = 514,642/x
  3. Step 3: Cross multiply
    238,651x = 514,642 × 514,642
  4. Step 4: Simplify right side
    238,651x = 264,856,388,164
  5. Step 5: Solve for x
    x = 264,856,388,164/238,651
  6. Step 6: Final answer
    x = 1,109,806.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.