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Finding the Third Proportional to 238,644 and 514,653

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Solution

The third proportional to 238,644 and 514,653 is: 1,109,886.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,644 : 514,653 = 514,653 : x
  2. Step 2: Convert to fraction form
    238,644/514,653 = 514,653/x
  3. Step 3: Cross multiply
    238,644x = 514,653 × 514,653
  4. Step 4: Simplify right side
    238,644x = 264,867,710,409
  5. Step 5: Solve for x
    x = 264,867,710,409/238,644
  6. Step 6: Final answer
    x = 1,109,886.32

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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.