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Finding the Third Proportional to 238,638 and 514,641

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Solution

The third proportional to 238,638 and 514,641 is: 1,109,862.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,638 : 514,641 = 514,641 : x
  2. Step 2: Convert to fraction form
    238,638/514,641 = 514,641/x
  3. Step 3: Cross multiply
    238,638x = 514,641 × 514,641
  4. Step 4: Simplify right side
    238,638x = 264,855,358,881
  5. Step 5: Solve for x
    x = 264,855,358,881/238,638
  6. Step 6: Final answer
    x = 1,109,862.46

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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.