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Finding the Third Proportional to 242,412 and 518,520

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Solution

The third proportional to 242,412 and 518,520 is: 1,109,115.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,412 : 518,520 = 518,520 : x
  2. Step 2: Convert to fraction form
    242,412/518,520 = 518,520/x
  3. Step 3: Cross multiply
    242,412x = 518,520 × 518,520
  4. Step 4: Simplify right side
    242,412x = 268,862,990,400
  5. Step 5: Solve for x
    x = 268,862,990,400/242,412
  6. Step 6: Final answer
    x = 1,109,115.85

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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.