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Finding the Third Proportional to 242,440 and 518,576

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Solution

The third proportional to 242,440 and 518,576 is: 1,109,227.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,440 : 518,576 = 518,576 : x
  2. Step 2: Convert to fraction form
    242,440/518,576 = 518,576/x
  3. Step 3: Cross multiply
    242,440x = 518,576 × 518,576
  4. Step 4: Simplify right side
    242,440x = 268,921,067,776
  5. Step 5: Solve for x
    x = 268,921,067,776/242,440
  6. Step 6: Final answer
    x = 1,109,227.30

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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.