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Finding the Third Proportional to 242,355 and 517,697

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Solution

The third proportional to 242,355 and 517,697 is: 1,105,857.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,355 : 517,697 = 517,697 : x
  2. Step 2: Convert to fraction form
    242,355/517,697 = 517,697/x
  3. Step 3: Cross multiply
    242,355x = 517,697 × 517,697
  4. Step 4: Simplify right side
    242,355x = 268,010,183,809
  5. Step 5: Solve for x
    x = 268,010,183,809/242,355
  6. Step 6: Final answer
    x = 1,105,857.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.