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Finding the Third Proportional to 242,427 and 518,550

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Solution

The third proportional to 242,427 and 518,550 is: 1,109,175.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,427 : 518,550 = 518,550 : x
  2. Step 2: Convert to fraction form
    242,427/518,550 = 518,550/x
  3. Step 3: Cross multiply
    242,427x = 518,550 × 518,550
  4. Step 4: Simplify right side
    242,427x = 268,894,102,500
  5. Step 5: Solve for x
    x = 268,894,102,500/242,427
  6. Step 6: Final answer
    x = 1,109,175.56

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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.