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Finding the Third Proportional to 242,355 and 517,701

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Solution

The third proportional to 242,355 and 517,701 is: 1,105,874.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,355 : 517,701 = 517,701 : x
  2. Step 2: Convert to fraction form
    242,355/517,701 = 517,701/x
  3. Step 3: Cross multiply
    242,355x = 517,701 × 517,701
  4. Step 4: Simplify right side
    242,355x = 268,014,325,401
  5. Step 5: Solve for x
    x = 268,014,325,401/242,355
  6. Step 6: Final answer
    x = 1,105,874.96

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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.