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Finding the Third Proportional to 242,426 and 518,548

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Solution

The third proportional to 242,426 and 518,548 is: 1,109,171.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,426 : 518,548 = 518,548 : x
  2. Step 2: Convert to fraction form
    242,426/518,548 = 518,548/x
  3. Step 3: Cross multiply
    242,426x = 518,548 × 518,548
  4. Step 4: Simplify right side
    242,426x = 268,892,028,304
  5. Step 5: Solve for x
    x = 268,892,028,304/242,426
  6. Step 6: Final answer
    x = 1,109,171.58

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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.