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Finding the Third Proportional to 113,872 and 243,511

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Solution

The third proportional to 113,872 and 243,511 is: 520,739.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,872 : 243,511 = 243,511 : x
  2. Step 2: Convert to fraction form
    113,872/243,511 = 243,511/x
  3. Step 3: Cross multiply
    113,872x = 243,511 × 243,511
  4. Step 4: Simplify right side
    113,872x = 59,297,607,121
  5. Step 5: Solve for x
    x = 59,297,607,121/113,872
  6. Step 6: Final answer
    x = 520,739.14

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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.