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Finding the Third Proportional to 235,575 and 517,806

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Solution

The third proportional to 235,575 and 517,806 is: 1,138,164.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,575 : 517,806 = 517,806 : x
  2. Step 2: Convert to fraction form
    235,575/517,806 = 517,806/x
  3. Step 3: Cross multiply
    235,575x = 517,806 × 517,806
  4. Step 4: Simplify right side
    235,575x = 268,123,053,636
  5. Step 5: Solve for x
    x = 268,123,053,636/235,575
  6. Step 6: Final answer
    x = 1,138,164.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.