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Finding the Third Proportional to 113,888 and 242,437

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Solution

The third proportional to 113,888 and 242,437 is: 516,083.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,888 : 242,437 = 242,437 : x
  2. Step 2: Convert to fraction form
    113,888/242,437 = 242,437/x
  3. Step 3: Cross multiply
    113,888x = 242,437 × 242,437
  4. Step 4: Simplify right side
    113,888x = 58,775,698,969
  5. Step 5: Solve for x
    x = 58,775,698,969/113,888
  6. Step 6: Final answer
    x = 516,083.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.