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Finding the Third Proportional to 238,545 and 514,458

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Solution

The third proportional to 238,545 and 514,458 is: 1,109,505.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,545 : 514,458 = 514,458 : x
  2. Step 2: Convert to fraction form
    238,545/514,458 = 514,458/x
  3. Step 3: Cross multiply
    238,545x = 514,458 × 514,458
  4. Step 4: Simplify right side
    238,545x = 264,667,033,764
  5. Step 5: Solve for x
    x = 264,667,033,764/238,545
  6. Step 6: Final answer
    x = 1,109,505.69

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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.