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Finding the Third Proportional to 242,367 and 518,430

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Solution

The third proportional to 242,367 and 518,430 is: 1,108,936.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,367 : 518,430 = 518,430 : x
  2. Step 2: Convert to fraction form
    242,367/518,430 = 518,430/x
  3. Step 3: Cross multiply
    242,367x = 518,430 × 518,430
  4. Step 4: Simplify right side
    242,367x = 268,769,664,900
  5. Step 5: Solve for x
    x = 268,769,664,900/242,367
  6. Step 6: Final answer
    x = 1,108,936.72

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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.